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Aspects of non-associative gauge theory. (English) Zbl 07859836

Kähler, Uwe (ed.) et al., Analysis, applications, and computations. Proceedings of the 13th ISAAC congress, Ghent, Belgium, August 2–6, 2021. Cham: Birkhäuser. Trends Math., 515-525 (2023).

MSC: 53Cxx 22E67 20N05

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Zhang, Ning

Range decreasing group homomorphisms and holomorphic maps between generalized loop spaces. (English) Zbl 1539.58006

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 4, 2171-2199 (2023).

MSC: 58D15 58D05 32K05 46G20 22E67 58C10

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Chekhov, L. O.

Cluster variables for affine Lie-Poisson systems. (English. Russian original) Zbl 07824560

Theor. Math. Phys. 217, No. 3, 1987-2004 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 672-693 (2023).

MSC: 81R10 81R12 16T25

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Shan, Peng

Categorification and applications. (English) Zbl 1542.20037

Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 3038-3060 (2023).

Reviewer: Stefan Dawydiak (Bonn)

MSC: 20C08 18N25 20G42 17B37 17B67

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Iwase, Norio; Miyata, Yuya

Topological complexity of \(S^{3}/Q_{8}\) as fibrewise L-S category. (English) Zbl 1539.55002

Topol. Methods Nonlinear Anal. 62, No. 1, 239-265 (2023).

Reviewer: José Calcines (La Laguna)

MSC: 55M30 55R70 55M35 55P35 57T30

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Samnia, F.; Marefat, Y.

Power graphs defined on non-commutative non-associative Moufang loops. (English) Zbl 1535.20304

Adv. Group Theory Appl. 17, 83-97 (2023).

MSC: 20N05 05C25

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Carranza, Daniel; Kapulkin, Krzysztof

Homotopy groups of cubical sets. (English) Zbl 1537.55016

Expo. Math. 41, No. 4, Article ID 125518, 55 p. (2023).

Reviewer: Shiquan Ren (Singapore)

MSC: 55Q05 18N40 55U35 55U10

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Kharvar, C. S.; Shukla, R. P.

Isotopic class of transversals in finite solvable groups. (English) Zbl 1532.20024

Quasigroups Relat. Syst. 31, No. 2, 261-268 (2023).

Reviewer: Egle Bettio (Venezia)

MSC: 20D10 20N05

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Mirković, Ivan

Lattice vertex algebras and loop Grassmannians. (English) Zbl 1532.14046

Transform. Groups 28, No. 3, 1221-1243 (2023).

Reviewer: Mee Seong Im (Annapolis)

MSC: 14F99 17B99 22E67

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Achar, Pramod N.; Riche, Simon

A geometric Steinberg formula. (English) Zbl 1527.14031

Transform. Groups 28, No. 3, 1001-1032 (2023).

Reviewer: Mee Seong Im (Annapolis)

MSC: 14F06 14F08 20G05 20G40 14M15 14M17

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Baez, John C.; Crans, Alissa S.; Schreiber, Urs; Stevenson, Danny

Erratum to: “From loop groups to 2-groups”. (English) Zbl 1524.22022

Homology Homotopy Appl. 25, No. 2, 403-405 (2023).

MSC: 22E67

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Golasiński, Marek

The homotopy solvability of compact Lie groups and homogenous topological spaces. (English) Zbl 1540.55013

Homology Homotopy Appl. 25, No. 2, 75-95 (2023).

Reviewer: Kohhei Yamaguchi (Tōkyō)

MSC: 55P15 55P45 55R35 22C05 14M17

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Ludkovsky, S. V.

Quasi-invariant and invariant functionals and measures on systems of topological loops and quasigroups. (English. Russian original) Zbl 1535.43001

Sib. Math. J. 64, No. 5, 1186-1199 (2023); translation from Sib. Mat. Zh. 64, No. 5, 1032-1049 (2023).

MSC: 43A05 20N05 22A30 43A07

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Lanina, E.; Sleptsov, A.

Tug-the-hook symmetry for quantum 6j-symbols. (English) Zbl 1532.81034

Phys. Lett., B 845, Article ID 138138, 10 p. (2023).

MSC: 81Q30 35P15 22E70 33D45 22E67 57K10 58J28

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Jakob, Konstantin; Kamgarpour, Masoud; Yi, Lingfei

Airy sheaves for reductive groups. (English) Zbl 07740431

Proc. Lond. Math. Soc. (3) 126, No. 1, 390-428 (2023).

Reviewer: Duong Dinh (Bonn)

MSC: 14D24 20G25 22E50 22E67

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Huang, Ruizhi; Theriault, Stephen

Homotopy of manifolds stabilized by projective spaces. (English) Zbl 1523.55009

J. Topol. 16, No. 3, 1237-1257 (2023).

Reviewer: Kohhei Yamaguchi (Tokyo)

MSC: 55P15 57R19 55P35 55Q52 57R65 55Q50 55P40

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Fan, Neil J. Y.; Fu, Changjian; Peng, Liangang

Quantized cohomological Hall algebra of the \(d\)-loop quiver revisited. (English) Zbl 1520.16012

Du, Jie (ed.) et al., Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao’s birth. East China Normal University Scientific Reports 16. Subseries of Symposia and Topic Studies. Singapore: World Scientific. 39-54 (2023).

MSC: 16G20 05E16

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Luecke, Kiran

Character formulas from matrix factorizations. (English) Zbl 1536.22027

Am. J. Math. 145, No. 4, 1315-1325 (2023).

Reviewer: Ernest L. Stitzinger (Raleigh)

MSC: 22E46 17B08 22E67

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Benson, Dave; Greenlees, John

The singularity and cosingularity categories of \(C^{\ast}BG\) for groups with cyclic Sylow \(p\)-subgroups. (English) Zbl 1523.20093

Algebr. Represent. Theory 26, No. 4, 1181-1216 (2023).

Reviewer: Mahender Singh (S.A.S. Nagar)

MSC: 20J06 16E45 16G70 55P35 55P60 55S30

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Torzewska, Fiona; Faria Martins, João; Martin, Paul Purdon

Motion groupoids and mapping class groupoids. (English) Zbl 1540.57036

Commun. Math. Phys. 402, No. 2, 1621-1705 (2023).

Reviewer: Celeste Damiani (Genova)

MSC: 57R19 57M07 20F36 20L05 57K20

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Jankowski, Jakub; Kucharski, Piotr; Larraguível, Hélder; Noshchenko, Dmitry; Sułkowski, Piotr

Quiver diagonalization and open BPS states. (English) Zbl 1530.81008

Commun. Math. Phys. 402, No. 2, 1551-1584 (2023).

MSC: 81P05 16G20 05A15 62F35 22E70 55P48

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Heller, Lynn; Heller, Sebastian; Traizet, Martin

Area estimates for high genus Lawson surfaces via DPW. (English) Zbl 1525.53072

J. Differ. Geom. 124, No. 1, 1-35 (2023).

Reviewer: Thomas Raujouan (Kobe)

MSC: 53C42 53A10 22E67

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Amelotte, Steven; Cohen, Frederick R.; Luo, Yuxin

Infinite families of higher torsion in the homotopy groups of Moore spaces. (English) Zbl 1525.55009

Algebr. Geom. Topol. 23, No. 5, 2389-2414 (2023).

Reviewer: Dae-Woong Lee (Jeonju)

MSC: 55P35 55P42 55Q51 55Q52

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Huang, Ruizhi

Loop homotopy of 6-manifolds over 4-manifolds. (English) Zbl 1525.55007

Algebr. Geom. Topol. 23, No. 5, 2369-2388 (2023).

Reviewer: Xueqi Wang (Beijing)

MSC: 55P15 55P35 57R19 55P10 55P40 55P62

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Christensen, J. Daniel; Scoccola, Luis

The Hurewicz theorem in homotopy type theory. (English) Zbl 07723339

Algebr. Geom. Topol. 23, No. 5, 2107-2140 (2023).

Reviewer: Ödül Tetik (Vienna)

MSC: 55Q99 03B38 18N60 55N99

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Ángel, Andrés; Colman, Hellen

Free and based path groupoids. (English) Zbl 1519.18003

Algebr. Geom. Topol. 23, No. 5, 1959-2008 (2023).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 18B40 55P35 58E40 55R91 58D19

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Hilburn, Justin; Kamnitzer, Joel; Weekes, Alex

BFN Springer theory. (English) Zbl 1519.17006

Commun. Math. Phys. 402, No. 1, 765-832 (2023).

Reviewer: Mee Seong Im (Annapolis)

MSC: 17B08 17B10 16G20 81T99 20G05

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Branahl, Johannes; Hock, Alexander

Complete solution of the LSZ model via topological recursion. (English) Zbl 1529.81095

Commun. Math. Phys. 401, No. 3, 2845-2899 (2023).

MSC: 81T32 81S05 62H20 12H05 30D30 22E67 81R12

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Beltrán, Carlos E.; Zapata, José A.

A discretization of Holst’s action for general relativity. (English) Zbl 1528.83021

Gen. Relativ. Gravitation 55, No. 6, Paper No. 77, 24 p. (2023).

MSC: 83C40 05E45 83C45 83C60 65M22 81T27 53C21

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Chen, Zongbin

Truncated affine Springer fibers and Arthur’s weighted orbital integrals. (English) Zbl 1532.22016

J. Inst. Math. Jussieu 22, No. 4, 1757-1818 (2023).

MSC: 22E67 14M15 11F85

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Gloeckner, Helge; Tárrega, Luis

Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups. (English) Zbl 1526.22013

J. Lie Theory 33, No. 1, 271-296 (2023).

MSC: 22E65 22E67 46A13 46E35 46M40

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Walsh, Mark; Wraith, David J.

H-space and loop space structures for intermediate curvatures. (English) Zbl 07696883

Commun. Contemp. Math. 25, No. 6, Article ID 2250017, 54 p. (2023).

MSC: 55Q52 55P10 55P35 18C15 53C20

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Alonso, Juan; Paternain, Miguel; Peraza, Javier; Reisenberger, Michael

Lie algebras of curves and loop-bundles on surfaces. (English) Zbl 1531.57007

Geom. Dedicata 217, No. 4, Paper No. 63, 33 p. (2023).

Reviewer: Patricia Cahn (Northampton)

MSC: 57K20 55P35 17B62

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Osipov, D. V.

Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem. (English. Russian original) Zbl 1527.14015

Proc. Steklov Inst. Math. 320, 226-257 (2023); translation from Tr. Mat. Inst. Steklova 320, 243-277 (2023).

Reviewer: Aleksandr G. Aleksandrov (Moskva)

MSC: 14C40 19D45 13F25 19F15 19L10 17B45

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Sati, Hisham; Voronov, Alexander A.

Mysterious triality and rational homotopy theory. (English) Zbl 1523.81145

Commun. Math. Phys. 400, No. 3, 1915-1960 (2023).

MSC: 81T33 17B22 22E70 35B36 55P35 14F35 14M25

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Damiani, Celeste; Martin, Paul; Rowell, Eric C.

Generalisations of Hecke algebras from loop braid groups. (English) Zbl 07689985

Pac. J. Math. 323, No. 1, 31-65 (2023).

Reviewer: Enrico Jabara (Venezia)

MSC: 16T25 20C08 18M15 20F36

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Ahmadiniaz, Naser; Lopez-Arcos, Cristhiam; Lopez-Lopez, Misha A.; Schubert, Christian

The QED four-photon amplitudes off-shell. II. (English) Zbl 1530.81139

Nucl. Phys., B 991, Article ID 116217, 37 p. (2023).

MSC: 81V10 81R25 81V80 20C12 70F10 55P35 81T33 70S15 05C51 81U05

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Iwase, Norio

Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point. (English) Zbl 1516.55003

Topol. Methods Nonlinear Anal. 61, No. 1, 217-238 (2023).

Reviewer: Yuli Rudyak (Gainesville)

MSC: 55M30 18M75 55P05 55P10 55P45 55P48 55Q25 55R35 55R70 55S10 55-02

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Ángel, Andrés; Colman, Hellen

\(G\)-category versus orbifold category. (English) Zbl 1520.55005

Topol. Methods Nonlinear Anal. 61, No. 1, 179-197 (2023).

Reviewer: Daniel Tanré (Villeneuve d’Ascq)

MSC: 55M30 22A22 55P91 55R91 58D19 55P35 18B40 58E40

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Hilburn, Justin; Raskin, Sam

Tate’s thesis in the de Rham setting. (English) Zbl 07682637

J. Am. Math. Soc. 36, No. 3, 917-1001 (2023).

MSC: 22E57 22E67 11G45

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Hentosh, O. E.; Prykarpatskyy, Ya. A.; Balinsky, A. A.; Prykarpatski, A. K.

Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. II. (English. Ukrainian original) Zbl 1517.37078

Ukr. Math. J. 74, No. 9, 1348-1368 (2023); translation from Ukr. Mat. Zh. 74, No. 9, 1182-1200 (2022).

MSC: 37K65 37K30 58D05 70G45

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Freese, Adam; Metz, Andreas; Pasquini, Barbara; Rodini, Simone

The gravitational form factors of the electron in quantum electrodynamics. (English) Zbl 1520.81168

Phys. Lett., B 839, Article ID 137768, 7 p. (2023).

MSC: 81V10 83C40 81U05 37E20 81T33 47A10

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Morita, Jun; Pianzola, Arturo; Shibata, Taiki

Affine Kac-Moody groups and Lie algebras in the language of SGA3. (English) Zbl 1508.14052

J. Pure Appl. Algebra 227, No. 7, Article ID 107331, 10 p. (2023).

Reviewer: Mee Seong Im (Annapolis)

MSC: 14L15 17B67 20G44 22E67

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Tsymbaliuk, Alexander

Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum \(Q\)-systems. (English) Zbl 1526.17027

Lett. Math. Phys. 113, No. 1, Paper No. 22, 43 p. (2023).

Reviewer: Shintaro Yanagida (Nagoya)

MSC: 17B37 81R10

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Cherchiglia, Adriano

Step towards a consistent treatment of chiral theories at higher loop order: the abelian case. (English) Zbl 1520.81202

Nucl. Phys., B 987, Article ID 116104, 21 p. (2023).

MSC: 81V74 22E67

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Huan, Zhen; Stapleton, Nathaniel

Level structures on \(p\)-divisible groups from the Morava \(E\)-theory of abelian groups. (English) Zbl 1515.55004

Math. Z. 303, No. 3, Paper No. 64, 24 p. (2023).

Reviewer: Ningchuan Zhang (Bloomington)

MSC: 55N20 14L05 55P35 55R35

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Jang, Il-Seung; Kwon, Jae-Hoon; Park, Euiyong

Unipotent quantum coordinate ring and prefundamental representations for types \(A_n^{(1)}\) and \(D_n^{(1)}\). (English) Zbl 1529.17024

Int. Math. Res. Not. 2023, No. 2, 1119-1172 (2023).

Reviewer: Sonia Natale (Córdoba)

MSC: 17B37 17B67

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Neguţ, Andrei

Shuffle algebras for quivers and wheel conditions. (English) Zbl 1518.81067

J. Reine Angew. Math. 795, 139-182 (2023).

MSC: 81R50 22E67 11G20 16T05

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Cueca, Miquel; Zhu, Chenchang

Shifted symplectic higher Lie groupoids and classifying spaces. (English) Zbl 1510.53094

Adv. Math. 413, Article ID 108829, 64 p. (2023).

Reviewer: Angela Gammella-Mathieu (Metz)

MSC: 53D17 18N65 22E67

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Backlinks: MO

Chepuri, Sunita; Lin, Feiyang

Symmetric group action of the birational \(R\)-matrix. (English) Zbl 1506.05219

J. Comb. 14, No. 2, 213-256 (2023).

MSC: 05E18 05E10 15A23 22E67 81R50

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Ivanov, Alexander B.

Arc-descent for the perfect loop functor and \(p\)-adic Deligne-Lusztig spaces. (English) Zbl 1514.20180

J. Reine Angew. Math. 794, 1-54 (2023).

Reviewer: Wilberd van der Kallen (Utrecht)

MSC: 20G05 14G22 14L35 20F55

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Morita, Jun; Pianzola, Arturo; Shibata, Taiki

Affine Kac-Moody groups as twisted loop groups obtained by Galois descent considerations. (English) Zbl 1522.20208

Math. J. Okayama Univ. 65, 35-81 (2023).

Reviewer: Alla Detinko (Hull)

MSC: 20G44 22E67

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Schmeding, Alexander

An introduction to infinite-dimensional differential geometry. (English) Zbl 1512.58001

Cambridge Studies in Advanced Mathematics 202. Cambridge: Cambridge University Press (ISBN 978-1-316-51488-7/hbk; 978-1-00-909125-1/ebook). xiv, 267 p., open access (2023).

Reviewer: Kaveh Eftekharinasab (Kyïv)

MSC: 58-01 53-01 22E67 22E65 46T05 55P55 57N20 57S05 58B10 58B20 58B25 58D05

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Ndombol, Bitjong; Thomas, Jean-Claude.

WITHDRAWN: Massey iterated products and closed geodesics. arXiv:2312.00609

Preprint, arXiv:2312.00609 [math.AT] (2023); retraction notice ibid.

MSC: 16E40 16E45 55P35 55Pxx 57T30 57T05

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Kranhold, Florian

A stable splitting of factorisation homology of generalised surfaces. arXiv:2310.07688

Preprint, arXiv:2310.07688 [math.AT] (2023).

MSC: 55R80 57S05 57R15 55P47 55P48 18N70

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Dong, Bin; He, Xuhua; Jin, Pengfei; Schremmer, Felix; Yu, Qingchao

Machine learning assisted exploration for affine Deligne-Lusztig varieties. arXiv:2308.11355

Preprint, arXiv:2308.11355 [math.AG] (2023).

MSC: 22E35 22E67

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Pestov, Vladimir G.

Amenability of finite energy path and loop groups. arXiv:2307.00403

Preprint, arXiv:2307.00403 [math.FA] (2023).

MSC: 22E67 43A07

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Philippe, Paul

Grading of affine Weyl semi-groups of Kac-Moody type. arXiv:2306.04514

Preprint, arXiv:2306.04514 [math.RT] (2023).

MSC: 20F55 20G44 20C08 22E67

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Opie, Morgan

Rank-preserving additions for topological vector bundles, after a construction of Horrocks. arXiv:2302.06963

Preprint, arXiv:2302.06963 [math.AT] (2023).

MSC: 55R25 55R35 55Q05 55P99 55P47

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He, Xuhua

On affine Lusztig varieties. arXiv:2302.03203

Preprint, arXiv:2302.03203 [math.RT] (2023).

MSC: 22E35 22E67

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Holkar, Rohit Dilip; Hossain, Md Amir

Topological fundamental groupoid. I. arXiv:2302.01583

Preprint, arXiv:2302.01583 [math.AT] (2023).

MSC: 55Pxx 55Qxx 14H30 22E67 22A22 54A10 57Sxx

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Neretin, Yury A.

Non-singular actions of infinite-dimensional groups and polymorphisms. arXiv:2301.01736

Preprint, arXiv:2301.01736 [math.DS] (2023).

MSC: 37A40 22F10 37A15 22E67

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Found 62 Documents (Results 1–62)

Aspects of non-associative gauge theory. (English) Zbl 07859836

Range decreasing group homomorphisms and holomorphic maps between generalized loop spaces. (English) Zbl 1539.58006

Cluster variables for affine Lie-Poisson systems. (English. Russian original) Zbl 07824560

Categorification and applications. (English) Zbl 1542.20037

Topological complexity of \(S^{3}/Q_{8}\) as fibrewise L-S category. (English) Zbl 1539.55002

Power graphs defined on non-commutative non-associative Moufang loops. (English) Zbl 1535.20304

Homotopy groups of cubical sets. (English) Zbl 1537.55016

Isotopic class of transversals in finite solvable groups. (English) Zbl 1532.20024

Lattice vertex algebras and loop Grassmannians. (English) Zbl 1532.14046

A geometric Steinberg formula. (English) Zbl 1527.14031

Erratum to: “From loop groups to 2-groups”. (English) Zbl 1524.22022

The homotopy solvability of compact Lie groups and homogenous topological spaces. (English) Zbl 1540.55013

Quasi-invariant and invariant functionals and measures on systems of topological loops and quasigroups. (English. Russian original) Zbl 1535.43001

Tug-the-hook symmetry for quantum 6j-symbols. (English) Zbl 1532.81034

Airy sheaves for reductive groups. (English) Zbl 07740431

Homotopy of manifolds stabilized by projective spaces. (English) Zbl 1523.55009

Quantized cohomological Hall algebra of the \(d\)-loop quiver revisited. (English) Zbl 1520.16012

Character formulas from matrix factorizations. (English) Zbl 1536.22027

The singularity and cosingularity categories of \(C^{\ast}BG\) for groups with cyclic Sylow \(p\)-subgroups. (English) Zbl 1523.20093

Motion groupoids and mapping class groupoids. (English) Zbl 1540.57036

Quiver diagonalization and open BPS states. (English) Zbl 1530.81008

Area estimates for high genus Lawson surfaces via DPW. (English) Zbl 1525.53072

Infinite families of higher torsion in the homotopy groups of Moore spaces. (English) Zbl 1525.55009

Loop homotopy of 6-manifolds over 4-manifolds. (English) Zbl 1525.55007

The Hurewicz theorem in homotopy type theory. (English) Zbl 07723339

Free and based path groupoids. (English) Zbl 1519.18003

BFN Springer theory. (English) Zbl 1519.17006

Complete solution of the LSZ model via topological recursion. (English) Zbl 1529.81095

A discretization of Holst’s action for general relativity. (English) Zbl 1528.83021

Truncated affine Springer fibers and Arthur’s weighted orbital integrals. (English) Zbl 1532.22016

Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups. (English) Zbl 1526.22013

H-space and loop space structures for intermediate curvatures. (English) Zbl 07696883

Lie algebras of curves and loop-bundles on surfaces. (English) Zbl 1531.57007

Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem. (English. Russian original) Zbl 1527.14015

Mysterious triality and rational homotopy theory. (English) Zbl 1523.81145

Generalisations of Hecke algebras from loop braid groups. (English) Zbl 07689985

The QED four-photon amplitudes off-shell. II. (English) Zbl 1530.81139

Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point. (English) Zbl 1516.55003

\(G\)-category versus orbifold category. (English) Zbl 1520.55005

Tate’s thesis in the de Rham setting. (English) Zbl 07682637

Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. II. (English. Ukrainian original) Zbl 1517.37078

The gravitational form factors of the electron in quantum electrodynamics. (English) Zbl 1520.81168

Affine Kac-Moody groups and Lie algebras in the language of SGA3. (English) Zbl 1508.14052

Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum \(Q\)-systems. (English) Zbl 1526.17027

Step towards a consistent treatment of chiral theories at higher loop order: the abelian case. (English) Zbl 1520.81202

Level structures on \(p\)-divisible groups from the Morava \(E\)-theory of abelian groups. (English) Zbl 1515.55004

Unipotent quantum coordinate ring and prefundamental representations for types \(A_n^{(1)}\) and \(D_n^{(1)}\). (English) Zbl 1529.17024

Shuffle algebras for quivers and wheel conditions. (English) Zbl 1518.81067

Shifted symplectic higher Lie groupoids and classifying spaces. (English) Zbl 1510.53094

Symmetric group action of the birational \(R\)-matrix. (English) Zbl 1506.05219

Arc-descent for the perfect loop functor and \(p\)-adic Deligne-Lusztig spaces. (English) Zbl 1514.20180

Affine Kac-Moody groups as twisted loop groups obtained by Galois descent considerations. (English) Zbl 1522.20208

An introduction to infinite-dimensional differential geometry. (English) Zbl 1512.58001

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