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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Panebianco, Lorenzo Loop groups and QNEC. (English) Zbl 1476.81121 Commun. Math. Phys. 387, No. 1, 397-426 (2021). MSC: 81T40 22E67 35C08 20D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Fok, Chi-Kwong; Mathai, Varghese The ring structure of twisted equivariant \(KK\)-theory for noncompact Lie groups. (English) Zbl 1473.19007 Commun. Math. Phys. 385, No. 2, 633-666 (2021). Reviewer: Jonathan Rosenberg (College Park) MSC: 19K35 22E30 22D25 22E67 53D50 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou Isomonodromy aspects of the \(tt^*\) equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics. (English) Zbl 1439.22027 Commun. Math. Phys. 374, No. 2, 923-973 (2020). MSC: 22E67 22E15 22E25 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Henriques, André Loop groups and diffeomorphism groups of the circle as colimits. (English) Zbl 1460.58007 Commun. Math. Phys. 366, No. 2, 537-565 (2019). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 22E65 22E66 81R10 57S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Hanusch, Maximilian Invariant connections in loop quantum gravity. (English) Zbl 1337.83026 Commun. Math. Phys. 343, No. 1, 1-38 (2016). MSC: 83C45 53Z05 81T20 22E10 22D25 83C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Münster, Korbinian; Sachs, Ivo Homotopy classification of bosonic string field theory. (English) Zbl 1295.83054 Commun. Math. Phys. 330, No. 3, 1227-1262 (2014). MSC: 83E30 81T20 53Z05 17B45 55P42 54F65 55P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Romik, Dan Connectivity patterns in loop percolation. I: The rationality phenomenon and constant term identities. (English) Zbl 1296.82030 Commun. Math. Phys. 330, No. 2, 499-538 (2014). MSC: 82B43 82B20 81R12 35Q40 05A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khoroshkin, A.; Markarian, N.; Shadrin, S. Hypercommutative operad as a homotopy quotient of BV. (English) Zbl 1281.55011 Commun. Math. Phys. 322, No. 3, 697-729 (2013). Reviewer: Benoît Fresse (Villeneuve d’Ascq) MSC: 55P48 22E67 53D45 81T40 81T70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Douglas, Christopher L. Fusion rings of loop group representations. (English) Zbl 1280.22023 Commun. Math. Phys. 319, No. 2, 395-423 (2013). Reviewer: Shrawan Kumar (Chapel Hill) MSC: 22E67 22E70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lai, Alan The JLO character for the noncommutative space of connections of Aastrup-Grimstrup-Nest. (English) Zbl 1261.83025 Commun. Math. Phys. 318, No. 1, 1-34 (2013). MSC: 83C65 58Z05 46L65 22E10 83C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Svensson, Martin; Wood, John C. Filtrations, factorizations and explicit formulae for harmonic maps. (English) Zbl 1243.58010 Commun. Math. Phys. 310, No. 1, 99-134 (2012). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 53C43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hekmati, Pedram; Mickelsson, Jouko Fractional loop group and twisted \(K\)-theory. (English) Zbl 1263.22014 Commun. Math. Phys. 299, No. 3, 741-763 (2010). MSC: 22E67 19L50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Douglas, Christopher L. On the structure of the fusion ideal. (English) Zbl 1204.22017 Commun. Math. Phys. 290, No. 1, 335-355 (2009). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 22E67 22E70 81T40 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Hernandez, David On minimal affinizations of representations of quantum groups. (English) Zbl 1141.17011 Commun. Math. Phys. 276, No. 1, 221-259 (2007). Reviewer: Tomasz Brzeziński (Swansea) MSC: 17B37 17B10 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ovsienko, V.; Roger, C. Looped cotangent Virasoro algebra and nonlinear integrable systems in dimension \(2+1\). (English) Zbl 1161.37047 Commun. Math. Phys. 273, No. 2, 357-378 (2007). Reviewer: Pasha Zusmanovich (Reykjavik) MSC: 37K10 17B56 17B66 17B68 37K30 37K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Yi-Zhi; Kong, Liang Open-string vertex algebras, tensor categories and operads. (English) Zbl 1083.17010 Commun. Math. Phys. 250, No. 3, 433-471 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 18D50 55P48 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Murray, Michael K.; Stevenson, Daniel Higgs fields, bundle gerbes and string structures. (English) Zbl 1085.53019 Commun. Math. Phys. 243, No. 3, 541-555 (2003). Reviewer: Valentin Boju (Montreal) MSC: 53C07 57R20 81T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hurtubise, J. C.; Markman, E. Surfaces and the Sklyanin bracket. (English) Zbl 1041.37034 Commun. Math. Phys. 230, No. 3, 485-502 (2002). MSC: 37K10 14C05 37J35 37K30 37K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Norbury, Paul Periodic instantons and the loop group. (English) Zbl 0978.58004 Commun. Math. Phys. 212, No. 3, 557-569 (2000). Reviewer: M.G.Eastwood (Adelaide) MSC: 58D27 22E67 70S15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Toledano Laredo, Valerio Positive energy representations of the loop groups of non-simply connected Lie groups. (English) Zbl 0969.22010 Commun. Math. Phys. 207, No. 2, 307-339 (1999). MSC: 22E67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carey, Alan L.; Langmann, Edwin Loop groups, anyons and the Calogero-Sutherland model. (English) Zbl 1044.81708 Commun. Math. Phys. 201, No. 1, 1-34 (1999). MSC: 81T40 22E67 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dodd, R. K. Soliton immersions. (English) Zbl 0942.53005 Commun. Math. Phys. 197, No. 3, 641-665 (1998). MSC: 53A05 37K25 53C42 22E65 × Cite Format Result Cite Review PDF Full Text: DOI
Enriquez, B.; Felder, G. Elliptic quantum groups \(E_{\tau,\eta}({\mathfrak sl}_2)\) and quasi-Hopf algebras. (English) Zbl 0959.17013 Commun. Math. Phys. 195, No. 3, 651-689 (1998). MSC: 17B37 16W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dubrovin, Boris; Zhang, Youjin Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation. (English) Zbl 0923.58060 Commun. Math. Phys. 198, No. 2, 311-361 (1998). MSC: 53D45 37K10 37K30 57R56 81T45 81R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Semenov-Tian-Shansky, M. A.; Sevostyanov, A. V. Drinfeld-Sokolov reduction for difference operators and deformations of \(W\)-algebras. II: The general semisimple case. (English) Zbl 0916.17021 Commun. Math. Phys. 192, No. 3, 631-647 (1998). Reviewer: Volodymyr Mazorchuk (Kyiv) MSC: 17B68 39A70 81R10 17B37 37J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Felder, Giovanni; Varchenko, Alexander On representations of the elliptic quantum group \(E_ \tau,\eta(sl_ 2)\). (English) Zbl 0870.17012 Commun. Math. Phys. 181, No. 3, 741-761 (1996). MSC: 17B37 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Teleman, Constantin Lie algebra cohomology and the fusion rules. (English) Zbl 0842.17038 Commun. Math. Phys. 173, No. 2, 265-311 (1995). MSC: 17B56 17B67 22E67 81T40 × Cite Format Result Cite Review PDF Full Text: DOI
Neretin, Yurij A. Some remarks on quasi-invariant actions of loop groups and the group of diffeomorphisms of the circle. (English) Zbl 0840.22036 Commun. Math. Phys. 164, No. 3, 599-626 (1994). Reviewer: A.Tralle (Szczecin) MSC: 22E67 58D05 × Cite Format Result Cite Review PDF Full Text: DOI
Mason, L. J.; Singer, M. A. The twistor theory of equations of KdV type. I. (English) Zbl 0812.35127 Commun. Math. Phys. 166, No. 1, 191-218 (1994). MSC: 35Q53 81T13 81R25 32L25 × Cite Format Result Cite Review PDF Full Text: DOI
Etingof, Pavel I.; Frenkel, Igor B. Central extensions of current groups in two dimensions. (English) Zbl 0822.22014 Commun. Math. Phys. 165, No. 3, 429-444 (1994). Reviewer: A.N.Pressley (London) MSC: 22E67 81T40 58B20 81R10 57S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hashimoto, Takashi; Sawae, Ryuichi The conformal factor in the SAS Einstein-Maxwell field equations and a central extension of a formal loop group. (English) Zbl 0793.53087 Commun. Math. Phys. 160, No. 1, 15-31 (1994). MSC: 53Z05 22E67 83C22 × Cite Format Result Cite Review PDF Full Text: DOI
Gabbiani, Fabrizio; Fröhlich, Jürg Operator algebras and conformal field theory. (English) Zbl 0801.46084 Commun. Math. Phys. 155, No. 3, 569-640 (1993). MSC: 46L60 81T40 46N50 81R10 81T05 × Cite Format Result Cite Review PDF Full Text: DOI
Mickelsson, Jouko Vacuum expectation values of products of chiral currents in \(3+1\) dimensions. (English) Zbl 0788.22024 Commun. Math. Phys. 154, No. 2, 403-420 (1993). Reviewer: A.A.Bogush (Minsk) MSC: 22E60 81R10 22E67 81T13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borthwick, David The Pfaffian line bundle. (English) Zbl 0785.58009 Commun. Math. Phys. 149, No. 3, 463-493 (1992). Reviewer: M.Schlichenmaier (Mannheim) MSC: 58B25 58J52 32L05 14M15 58A17 22E65 22E67 15A75 × Cite Format Result Cite Review PDF Full Text: DOI
Carey, A. L.; Murray, M. K. String structures and the path fibration of a group. (English) Zbl 0734.55006 Commun. Math. Phys. 141, No. 3, 441-452 (1991). MSC: 55R35 22E67 × Cite Format Result Cite Review PDF Full Text: DOI
Stolin, A. On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra. (English) Zbl 0736.17006 Commun. Math. Phys. 141, No. 3, 533-548 (1991). Reviewer: A.Stolin (Stockholm) MSC: 17B20 22E70 53D50 × Cite Format Result Cite Review PDF Full Text: DOI
Harnad, J.; Kupershmidt, B. A. Super loop groups, Hamiltonian actions and super Virasoro algebras. (English) Zbl 0709.17020 Commun. Math. Phys. 132, No. 2, 315-347 (1990). Reviewer: T.Ratiu MSC: 17B68 53D50 22E67 81R10 17A70 × Cite Format Result Cite Review PDF Full Text: DOI
Gravesen, Jens Loop groups and Yang-Mills theory in dimension two. (English) Zbl 0702.58019 Commun. Math. Phys. 127, No. 3, 597-605 (1990). Reviewer: M.K.Murray MSC: 58E99 81T13 22E67 × Cite Format Result Cite Review PDF Full Text: DOI
Dijkgraaf, Robbert; Vafa, Cumrun; Verlinde, Erik; Verlinde, Herman The operator algebra of orbifold models. (English) Zbl 0674.46051 Commun. Math. Phys. 123, No. 3, 485-526 (1989). Reviewer: N.D.Sengupta MSC: 46N99 81T05 × Cite Format Result Cite Review PDF Full Text: DOI
Coquereaux, R.; Pilch, K. String structures on loop bundles. (English) Zbl 0672.55008 Commun. Math. Phys. 120, No. 3, 353-378 (1989). MSC: 55R10 81T30 55R35 53C80 × Cite Format Result Cite Review PDF Full Text: DOI
Garland, H.; Murray, M. K. Kac-Moody monopoles and periodic instantons. (English) Zbl 0699.53094 Commun. Math. Phys. 120, No. 2, 335-351 (1988). Reviewer: A.N.Pressley MSC: 53C80 81T08 22E65 17B67 × Cite Format Result Cite Review PDF Full Text: DOI
Neveu, A.; West, P. Group theoretic approach to the open bosonic string multi-loop S-matrix. (English) Zbl 0676.22014 Commun. Math. Phys. 114, No. 4, 613-643 (1988). MSC: 22E65 81T08 81U20 53C80 × Cite Format Result Cite Review PDF Full Text: DOI
Guest, M. A.; Pressley, A. N. Holomorphic curves in loop groups. (English) Zbl 0668.22007 Commun. Math. Phys. 118, No. 3, 511-527 (1988). Reviewer: S.I.Gel’fand MSC: 22E65 55P35 58E20 57N05 × Cite Format Result Cite Review PDF Full Text: DOI
Adams, M. R.; Harnad, J.; Previato, E. Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras. (English) Zbl 0659.58022 Commun. Math. Phys. 117, No. 3, 451-500 (1988). Reviewer: H.Knörrer MSC: 37J35 37K10 22E65 37C10 × Cite Format Result Cite Review PDF Full Text: DOI
Mickelsson, J.; Rajeev, S. G. Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians. (English) Zbl 0648.22013 Commun. Math. Phys. 116, No. 3, 365-400 (1988). Reviewer: A.N.Pressley MSC: 22E65 58B25 81R10 81T05 × Cite Format Result Cite Review PDF Full Text: DOI
Murrays, M. K. Another construction of the central extension of the loop group. (English) Zbl 0648.22012 Commun. Math. Phys. 116, No. 1, 73-80 (1988). Reviewer: A.N.Pressley MSC: 22E65 × Cite Format Result Cite Review PDF Full Text: DOI
Crane, Louis Action of the loop group on the self-dual Yang-Mills equation. (English) Zbl 0638.58028 Commun. Math. Phys. 110, 391-414 (1987). MSC: 58Z05 81T08 22E65 17B67 58J70 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Aldaya, Victor; Navarro-Salas, Jose Formal group laws for affine Kac-Moody groups and group quantization. (English) Zbl 0637.22011 Commun. Math. Phys. 113, 375-387 (1987). Reviewer: H.Boseck MSC: 22E65 22E70 17B65 58B25 53D50 81R10 × Cite Format Result Cite Review PDF Full Text: DOI
Witten, Edward Elliptic genera and quantum field theory. (English) Zbl 0625.57008 Commun. Math. Phys. 109, 525-536 (1987). Reviewer: P.Landweber MSC: 57R20 58J22 57S15 81T99 11F11 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Shrawan Non-representability of cohomology classes by bi-invariant forms (gauge and Kac-Moody groups). (English) Zbl 0615.57025 Commun. Math. Phys. 106, 177-181 (1986). Reviewer: I. V. Chekalov (Minsk) MSC: 57T10 22E67 17B67 × Cite Format Result Cite Review PDF Full Text: DOI
Reyman, A. G.; Semenov-Tian-Shansky, Michael A. A new integrable case of the motion of the 4-dimensional rigid body. (English) Zbl 0606.58029 Commun. Math. Phys. 105, 461-472 (1986). Reviewer: H.Torriani MSC: 37J35 37K10 17B65 22E70 70E15 85A30 × Cite Format Result Cite Review PDF Full Text: DOI
Carey, A. L.; Hurst, C. A. A note on the Boson-Fermion correspondence and infinite dimensional groups. (English) Zbl 0577.46067 Commun. Math. Phys. 98, No. 4, 435-448 (1985). MSC: 46N99 46L60 22E65 81T08 17B10 22E70 × Cite Format Result Cite Review PDF Full Text: DOI