Found 424 Documents (Results 1–100)
On the 3-loop polynomial of genus 1 knots with trivial Alexander polynomial. (English) Zbl 07919822
MSC:
57K16
Generalized abelian Turaev-Viro and \(\operatorname{U}(1)\) BF theories. (English) Zbl 07915451
Kaufmann, Ralph M. (ed.) et al., Higher structures in topology, geometry, and physics. AMS special session, virtual, March 26–27, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 802, 299-321 (2024).
A note on orientation-reversing distance one surgeries on non-null-homologous knots. (English) Zbl 07910799
Book review of: A. B. Sossinsky, Knots, links and their invariants. An elementary course in contemporary knot theory. (English) Zbl 07893322
Twisted Kuperberg invariants of knots and Reidemeister torsion via twisted Drinfeld doubles. (English) Zbl 07880401
Decorated one-dimensional cobordisms and tensor envelopes of noncommutative recognizable power series. (English) Zbl 1541.18023
Reviewer: Mee Seong Im (Annapolis)
Milnor’s triple linking number and Gauss diagram formulas of 3-bouquet graphs. (English) Zbl 07873639
J. Knot Theory Ramifications 33, No. 3, Article ID 2350064, 24 p. (2024); erratum ibid. 33, No. 8, Article ID 2492002, 1 p. (2024).
Correction to: “Finite type invariants of w-knotted objects. II: Tangles, foams and the Kashiwara-Vergne problem”. (English) Zbl 1542.57002
A formula to evaluate type-a webs and link polynomials. (English) Zbl 07864053
Reviewer: Kazuhiro Hikami (Fukuoka)
Unified invariant of knots from homological braid action on Verma modules. (English) Zbl 07862385
Reviewer: V. Hosana Ranaivomanana (Antananarivo)
Yarn ball knots and faster computations. (English) Zbl 07857694
MSC:
57K16
On Vassiliev invariants of virtual knots. (English) Zbl 07854790
Reviewer: Mohamed Elhamdadi (Tampa)
A refinement of the LMO invariant for 3-manifolds with the first Betti number 1. (English) Zbl 07852712
Reviewer: Yuta Nozaki (Yokohama)
The colored Jones polynomial of the figure-eight knot and a quantum modularity. (English) Zbl 07845243
Reviewer: Jean Raimbault (Marseille)
On values of \(\mathfrak{sl}_3\) weight system on chord diagrams whose intersection graph is complete bipartite. (English) Zbl 1541.57012
On the geometry of two state models for the colored Jones polynomial. (English) Zbl 07839456
Reviewer: Valeriano Aiello (Roma)
Symmetric monoidal equivalences of topological quantum field theories in dimension two and Frobenius algebras. (English) Zbl 1537.57054
From hypertoric geometry to bordered Floer homology via the \(m = 1\) amplituhedron. (English) Zbl 1537.57022
Reviewer: Mee Seong Im (Annapolis)
Machine learning Sasakian and \(G_2\) topology on contact Calabi-Yau 7-manifolds. (English) Zbl 07831829
Monoidal centres and groupoid-graded categories. (English) Zbl 1539.18019
Reviewer: Nicolas Blanco (Birmingham)
Elementary computation of the Jones polynomials for torus links modulo primes. (English) Zbl 1536.57013
Gukov-Pei-Putrov-Vafa conjecture for \(SU(N)/\mathbb{Z}_m\). (English) Zbl 1536.57012
Reviewer: Mee Seong Im (Annapolis)
Quantum modular \(\widehat{Z}^G\)-invariants. (English) Zbl 1540.57020
Reviewer: V. Hosana Ranaivomanana (Antananarivo)
Modular transformations of homological blocks for Seifert fibered homology 3-spheres. (English) Zbl 07809222
Reviewer: Sachin Chauhan (Mumbai)
Non-semisimple Levin-Wen models and Hermitian TQFTs from quantum (super)groups. (English) Zbl 1535.57011
Reviewer: Mee Seong Im (Annapolis)
One-dimensional topological theories with defects: the linear case. (English) Zbl 1532.18009
Im, Mee Seong (ed.) et al., Algebraic and topological aspects of representation theory. Virtual AMS special session on geometric and algebraic aspects of quantum groups and related topics, virtual, November 20–21, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 791, 105-146 (2024).
Reviewer: Hirokazu Nishimura (Tsukuba)
Algebraic and topological aspects of representation theory. Virtual AMS special session on geometric and algebraic aspects of quantum groups and related topics, virtual, November 20–21, 2021. (English) Zbl 1531.17003
Contemporary Mathematics 791. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7034-0/pbk; 978-1-4704-7604-5/ebook). ix, 227 p. (2024).
Colored Jones polynomials and abelianized Lefschetz numbers. (English) Zbl 1533.57009
Reviewer: Valeriano Aiello (Roma)
Actions of automorphism groups of free groups on spaces of Jacobi diagrams. II. (English) Zbl 1532.20041
Reviewer: Egle Bettio (Venezia)
Tonal partition algebras: fundamental and geometrical aspects of representation theory. (English) Zbl 1530.20034
Universal quantum computation using Ising anyons from a non-semisimple Topological Quantum Field Theory. arXiv:2410.14860
Preprint, arXiv:2410.14860 [quant-ph] (2024).
The cyclic bar construction and fundamental groups. arXiv:2410.14188
Preprint, arXiv:2410.14188 [math.AT] (2024).
On hidden face contributions of configuration space integrals for long embeddings. arXiv:2410.13168
Preprint, arXiv:2410.13168 [math.AT] (2024).
Torsion elements in the associated graded modules of filtrations over the Torelli group and the homology cylinders. arXiv:2410.10061
Preprint, arXiv:2410.10061 [math.GT] (2024).
\(L\)-function invariants for 3-manifolds and relations between generalized Bernoulli polynomials. arXiv:2410.05611
Preprint, arXiv:2410.05611 [math.GT] (2024).
Quasi-alternating surgeries. arXiv:2409.09839
Preprint, arXiv:2409.09839 [math.GT] (2024).
Two curious strongly invertible L-space knots. arXiv:2409.09833
Preprint, arXiv:2409.09833 [math.GT] (2024).
On determinant of checkerboard colorable virtual knots. arXiv:2408.01891
Preprint, arXiv:2408.01891 [math.GT] (2024).
Non-semisimple \(\mathfrak{sl}_2\) quantum invariants of fibred links. arXiv:2407.15561
Preprint, arXiv:2407.15561 [math.QA] (2024).
A survey on the Le-Murakami-Ohtsuki invariant for closed 3-manifolds. arXiv:2406.06857
Preprint, arXiv:2406.06857 [math.GT] (2024).
On the structure of Kauffman bracket skein algebra of a surface. arXiv:2406.02299
Preprint, arXiv:2406.02299 [math.GT] (2024).
Primitive Feynman diagrams and the rational Goussarov–Habiro Lie algebra of string links. arXiv:2406.01093
Preprint, arXiv:2406.01093 [math.GT] (2024).
Fast Algorithm for Multiplication on the Skein Algebra of One-hole Torus. arXiv:2405.20159
Preprint, arXiv:2405.20159 [math.GT] (2024).
On Matveev-Piergallini moves for branched spines. arXiv:2405.18743
Preprint, arXiv:2405.18743 [math.GT] (2024).
Skein modules and character varieties of Seifert manifolds. arXiv:2405.18557
Preprint, arXiv:2405.18557 [math.GT] (2024).
Higher rank series and root puzzles for plumbed 3-manifolds. arXiv:2405.14972
Preprint, arXiv:2405.14972 [math.GT] (2024).
Lie Superalgebra generalizations of the Jaeger-Kauffman-Saleur Invariant. arXiv:2405.07375
Preprint, arXiv:2405.07375 [math.GT] (2024).
Connecting essential triangulations I: via 2-3 and 0-2 moves. arXiv:2405.03539
Preprint, arXiv:2405.03539 [math.GT] (2024).
Non-semisimple Crane-Yetter theory varying over the character stack. arXiv:2404.19667
Preprint, arXiv:2404.19667 [math.QA] (2024).
Bordered invariants from Khovanov homology. arXiv:2404.06301
Preprint, arXiv:2404.06301 [math.GT] (2024).
Residual finiteness of fundamental \(n\)-quandles of links. arXiv:2403.17703
Preprint, arXiv:2403.17703 [math.GT] (2024).
Knot lattice homology and \(q\)-series invariants for plumbed knot complements. arXiv:2403.14461
Preprint, arXiv:2403.14461 [math.GT] (2024).
Nested cobordisms, Cyl-objects and Temperley-Lieb algebras. arXiv:2403.01067
Preprint, arXiv:2403.01067 [math.AT] (2024).
Quantum fundamental group of knot and its \(SL_2\) representation. arXiv:2402.06891
Preprint, arXiv:2402.06891 [math.GT] (2024).
Universal coloured Alexander invariant from configurations on ovals in the disc. arXiv:2401.17245
Preprint, arXiv:2401.17245 [math.GT] (2024).
3d TQFTs and 3-manifold invariants. arXiv:2401.10587
Preprint, arXiv:2401.10587 [math.GT] (2024).
Quantum state systems that count perfect matchings. arXiv:2401.07939
Preprint, arXiv:2401.07939 [math.GT] (2024).
Double linking number. (English) Zbl 07861102
Real Gromov-Witten theory. (English) Zbl 07822623
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). 2530-2550 (2023).
Reviewer: Mohammad Farajzadeh Tehrani (Iowa City)
Categorification: tangle invariants and TQFTs. (English) Zbl 1536.57014
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1312-1353 (2023).
Reviewer: Mee Seong Im (Annapolis)
Resurgence and partial theta series. (English. Russian original) Zbl 1532.11059
Funct. Anal. Appl. 57, No. 3, 248-265 (2023); translation from Funkts. Anal. Prilozh. 57, No. 3, 89-112 (2023).
Refined Bobtcheva-Messia invariants of 4-dimensional 2-handlebodies. (English) Zbl 07814238
Papadopoulos, Athanase (ed.), Essays in geometry. Dedicated to Norbert A’Campo. Berlin: European Mathematical Society. IRMA Lect. Math. Theor. Phys. 34, 387-432 (2023).
Reviewer: Dmitry Artamonov (Moskva)
The Alexander polynomial as a universal invariant. (English) Zbl 1535.57012
Papadopoulos, Athanase (ed.), Essays in geometry. Dedicated to Norbert A’Campo. Berlin: European Mathematical Society. IRMA Lect. Math. Theor. Phys. 34, 359-376 (2023).
Reviewer: Valeriano Aiello (Roma)
On finite type invariants of welded string links and ribbon tubes. (English) Zbl 1535.57009
Reviewer: Inasa Nakamura (Saga)
Witten-Reshetikhin-Turaev invariants for \(3\)-manifolds from Lagrangian intersections in configuration spaces. (English) Zbl 07800528
Evaluating TQFT invariants from \(G\)-crossed braided spherical fusion categories via Kirby diagrams with 3-handles. (English) Zbl 07800526
Mapping class group representations and Morita classes of algebras. (English) Zbl 1530.18026
Reviewer: Hirokazu Nishimura (Tsukuba)
New approaches to \(\mathfrak{gl}_N\) weight system. (English) Zbl 07794518
Izv. Math. 87, No. 6, 1255-1270 (2023) and Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 6, 150-166 (2023).
Values of the \(\mathfrak{sl}_2\) weight system at chord diagrams with complete intersection graphs. (English. Russian original) Zbl 1537.57023
Sb. Math. 214, No. 7, 934-951 (2023); translation from Mat. Sb. 214, No. 7, 42-59 (2023).
Reviewer: Alexander Stoimenow (Gwangju)
Algebra of shares, complete bipartite graphs and \(\mathfrak{sl}_2\) weight system. (English. Russian original) Zbl 07787333
Sb. Math. 214, No. 6, 832-852 (2023); translation from Mat. Sb. 214, No. 6, 87-109 (2023).
Nonorientable link cobordisms and torsion order in Floer homologies. (English) Zbl 07786943
Reviewer: Vitalijs Brejevs (Wien)
The 3-loop polynomial of knots obtained by plumbing the doubles of two knots. (English) Zbl 07786170
Generalized Bott-Cattaneo-Rossi invariants in terms of Alexander polynomials. (English) Zbl 1539.57020
Reviewer: Danica Kosanović (Zürich)
Knots and their related \(q\)-series. (English) Zbl 1532.57004
Reviewer: Haimiao Chen (Beijing)
Geometric triangulations and the Teichmüller TQFT volume conjecture for twist knots. (English) Zbl 1536.57002
Reviewer: Tian Yang (College Station)
Instanton Floer homology, sutures, and Euler characteristics. (English) Zbl 07761476
Reviewer: Paolo Ghiggini (Grenoble)
A note on weight systems which are quantum states. (English) Zbl 07761168
Reviewer: Vida Milani (North Logan)
Turaev-Viro invariants and cabling operations. (English) Zbl 07749849
Reviewer: Tian Yang (College Station)
Octahedral developing of knot complement. II: Ptolemy coordinates and applications. (English) Zbl 1529.57003
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