Jankowski, Jakub; Kucharski, Piotr; Larraguível, Hélder; Noshchenko, Dmitry; Sułkowski, Piotr Quiver diagonalization and open BPS states. (English) Zbl 07727596 Commun. Math. Phys. 402, No. 2, 1551-1584 (2023). MSC: 81P05 16G20 05A15 62F35 22E70 55P48 PDFBibTeX XMLCite \textit{J. Jankowski} et al., Commun. Math. Phys. 402, No. 2, 1551--1584 (2023; Zbl 07727596) Full Text: DOI arXiv
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). MSC: 16T25 18M15 20C08 20F36 PDFBibTeX XMLCite \textit{C. Damiani} et al., Pac. J. Math. 323, No. 1, 31--65 (2023; Zbl 07689985) Full Text: DOI arXiv
Hepworth, Richard Homological stability for Iwahori-Hecke algebras. (English) Zbl 07738273 J. Topol. 15, No. 4, 2174-2215 (2022). MSC: 20J06 16E40 20F36 PDFBibTeX XMLCite \textit{R. Hepworth}, J. Topol. 15, No. 4, 2174--2215 (2022; Zbl 07738273) Full Text: DOI arXiv OA License
Chaidez, Julian; Cotler, Jordan; Cui, Shawn X. 4-manifold invariants from Hopf algebras. (English) Zbl 1511.16027 Algebr. Geom. Topol. 22, No. 8, 3747-3807 (2022). MSC: 16T05 57K41 PDFBibTeX XMLCite \textit{J. Chaidez} et al., Algebr. Geom. Topol. 22, No. 8, 3747--3807 (2022; Zbl 1511.16027) Full Text: DOI arXiv
Bazier-Matte, Véronique; Schiffler, Ralf Knot theory and cluster algebras. (English) Zbl 1521.57001 Adv. Math. 408, Part B, Article ID 108609, 45 p. (2022). Reviewer: Frederic Palesi (Marseille) MSC: 57K10 13F60 16G20 PDFBibTeX XMLCite \textit{V. Bazier-Matte} and \textit{R. Schiffler}, Adv. Math. 408, Part B, Article ID 108609, 45 p. (2022; Zbl 1521.57001) Full Text: DOI arXiv
Benkart, Georgia; Biswal, Rekha; Kirkman, Ellen; Nguyen, Van C.; Zhu, Jieru Tensor representations for the Drinfeld double of the Taft algebra. (English) Zbl 1501.16026 J. Algebra 606, 764-797 (2022). Reviewer: Arkadiusz Bochniak (Kraków) MSC: 16T05 16T25 20C08 PDFBibTeX XMLCite \textit{G. Benkart} et al., J. Algebra 606, 764--797 (2022; Zbl 1501.16026) Full Text: DOI arXiv
Ekholm, Tobias; Gruen, Angus; Gukov, Sergei; Kucharski, Piotr; Park, Sunghyuk; Stošić, Marko; Sułkowski, Piotr Branches, quivers, and ideals for knot complements. (English) Zbl 1506.57001 J. Geom. Phys. 177, Article ID 104520, 75 p. (2022). Reviewer: Kazuhiro Hikami (Fukuoka) MSC: 57K10 16G20 PDFBibTeX XMLCite \textit{T. Ekholm} et al., J. Geom. Phys. 177, Article ID 104520, 75 p. (2022; Zbl 1506.57001) Full Text: DOI arXiv
De Renzi, Marco; Murakami, Jun Non-semisimple 3-manifold invariants derived from the Kauffman bracket. (English) Zbl 1494.57017 Quantum Topol. 13, No. 2, 255-333 (2022). Reviewer: Rui Miguel Saramago (Porto Salvo) MSC: 57K16 57K31 16T05 PDFBibTeX XMLCite \textit{M. De Renzi} and \textit{J. Murakami}, Quantum Topol. 13, No. 2, 255--333 (2022; Zbl 1494.57017) Full Text: DOI arXiv
Cooke, Juliet; Samuelson, Peter On the genus two skein algebra. (English) Zbl 1515.16031 J. Lond. Math. Soc., II. Ser. 104, No. 5, 2260-2298 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 16T99 20C08 57K16 PDFBibTeX XMLCite \textit{J. Cooke} and \textit{P. Samuelson}, J. Lond. Math. Soc., II. Ser. 104, No. 5, 2260--2298 (2021; Zbl 1515.16031) Full Text: DOI arXiv
Przytycki, Józef H.; Wang, Xiao The second Yang-Baxter homology for the HOMFLYPT polynomial. (English) Zbl 1490.57011 J. Knot Theory Ramifications 30, No. 13, Article ID 2141014, 14 p. (2021). Reviewer: Leandro Vendramin (Buenos Aires) MSC: 57K18 16T25 PDFBibTeX XMLCite \textit{J. H. Przytycki} and \textit{X. Wang}, J. Knot Theory Ramifications 30, No. 13, Article ID 2141014, 14 p. (2021; Zbl 1490.57011) Full Text: DOI arXiv
Bondal, Alexey I.; Zhdanovskiy, Il’ya Yu. Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves. (English. Russian original) Zbl 1484.14033 Russ. Math. Surv. 76, No. 2, 195-259 (2021); translation from Usp. Mat. Nauk 76, No. 2, 3-70 (2021). MSC: 14F08 05B20 16W99 17B05 31C20 42A38 14-02 PDFBibTeX XMLCite \textit{A. I. Bondal} and \textit{I. Yu. Zhdanovskiy}, Russ. Math. Surv. 76, No. 2, 195--259 (2021; Zbl 1484.14033); translation from Usp. Mat. Nauk 76, No. 2, 3--70 (2021) Full Text: DOI arXiv
Alekseev, Victor; Morozov, Andrey; Sleptsov, Alexey Interplay between symmetries of quantum 6j-symbols and the eigenvalue hypothesis. (English) Zbl 1464.81036 Lett. Math. Phys. 111, No. 2, Paper No. 50, 29 p. (2021). MSC: 81R50 57K16 17B37 16T25 18M15 57K14 81T13 PDFBibTeX XMLCite \textit{V. Alekseev} et al., Lett. Math. Phys. 111, No. 2, Paper No. 50, 29 p. (2021; Zbl 1464.81036) Full Text: DOI arXiv
Brochier, Adrien; Jordan, David; Snyder, Noah On dualizability of braided tensor categories. (English) Zbl 1461.18014 Compos. Math. 157, No. 3, 435-483 (2021). Reviewer: Luz Adriana Mejia Castaño (Barranquilla) MSC: 18M15 57K16 57K31 18M05 81T45 18D20 16D90 PDFBibTeX XMLCite \textit{A. Brochier} et al., Compos. Math. 157, No. 3, 435--483 (2021; Zbl 1461.18014) Full Text: DOI arXiv
Poulain d’Andecy, Loïc Fusion for the Yang-Baxter equation and the braid group. (English) Zbl 1523.16042 Winter Braids Lect. Notes 7, Exp. No. 3, 49 p. (2020). MSC: 16T25 17B38 20C08 20F36 PDFBibTeX XMLCite \textit{L. Poulain d'Andecy}, Winter Braids Lect. Notes 7, Exp. No. 3, 49 p. (2020; Zbl 1523.16042) Full Text: DOI arXiv
Asaulko, K. S.; Korablëv, F. G. On a Yang-Baxter operator and the corresponding knots invariant. (Russian. English summary) Zbl 1473.57004 Chelyabinskiĭ Fiz.-Mat. Zh. 4, No. 3, 255-264 (2019). MSC: 57K10 57K14 16T25 PDFBibTeX XMLCite \textit{K. S. Asaulko} and \textit{F. G. Korablëv}, Chelyabinskiĭ Fiz.-Mat. Zh. 4, No. 3, 255--264 (2019; Zbl 1473.57004) Full Text: DOI MNR
Camilo, Giancarlo; Melnikov, Dmitry; Novaes, Fábio; Prudenziati, Andrea Circuit complexity of knot states in Chern-Simons theory. (English) Zbl 1418.81053 J. High Energy Phys. 2019, No. 7, Paper No. 163, 38 p. (2019). MSC: 81T10 16T05 58J28 81S40 PDFBibTeX XMLCite \textit{G. Camilo} et al., J. High Energy Phys. 2019, No. 7, Paper No. 163, 38 p. (2019; Zbl 1418.81053) Full Text: DOI arXiv
Sauerwein, Marc Koszul duality and Soergel bimodules for dihedral groups. (English) Zbl 1437.16020 Trans. Am. Math. Soc. 370, No. 2, 1251-1283 (2018). MSC: 16S37 20F55 PDFBibTeX XMLCite \textit{M. Sauerwein}, Trans. Am. Math. Soc. 370, No. 2, 1251--1283 (2018; Zbl 1437.16020) Full Text: DOI arXiv
Kashaev, Rinat M. On realizations of Pachner moves in 4d. (English) Zbl 1337.57064 J. Knot Theory Ramifications 24, No. 13, Article ID 1541002, 13 p. (2015). Reviewer: Theo Johnson-Freyd (Evanston) MSC: 57R56 57Q15 16T05 22B05 PDFBibTeX XMLCite \textit{R. M. Kashaev}, J. Knot Theory Ramifications 24, No. 13, Article ID 1541002, 13 p. (2015; Zbl 1337.57064) Full Text: DOI arXiv
Buchweitz, Ragnar-Olaf (ed.); Hori, Kentaro (ed.); Krause, Henning (ed.) Matrix factorizations in algebra, geometry, and physics. Abstracts from the workshop held September 1–7, 2013. (English) Zbl 1349.00089 Oberwolfach Rep. 10, No. 3, 2501-2552 (2013). MSC: 00B05 00B25 18-06 13-06 16-06 18Dxx 18E30 81T40 14F05 13Dxx 16Gxx PDFBibTeX XMLCite \textit{R.-O. Buchweitz} (ed.) et al., Oberwolfach Rep. 10, No. 3, 2501--2552 (2013; Zbl 1349.00089) Full Text: DOI
Bobtcheva, Ivelina; Piergallini, Riccardo On 4-dimensional 2-handlebodies and 3-manifolds. (English) Zbl 1276.57010 J. Knot Theory Ramifications 21, No. 12, 1250110, 230 p. (2012). Reviewer: Motoo Tange (Tsukuba) MSC: 57M27 16T05 57R56 16W99 17B37 18D35 PDFBibTeX XMLCite \textit{I. Bobtcheva} and \textit{R. Piergallini}, J. Knot Theory Ramifications 21, No. 12, 1250110, 230 p. (2012; Zbl 1276.57010) Full Text: DOI arXiv
Yau, Donald The Hom-Yang-Baxter equation and Hom-Lie algebras. (English) Zbl 1317.16032 J. Math. Phys. 52, No. 5, 053502, 19 p. (2011). MSC: 16T25 17B62 17B37 17A30 16T10 81R50 PDFBibTeX XMLCite \textit{D. Yau}, J. Math. Phys. 52, No. 5, 053502, 19 p. (2011; Zbl 1317.16032) Full Text: DOI arXiv
Marsh, Robert J.; Martin, Paul Tiling bijections between paths and Brauer diagrams. (English) Zbl 1262.05009 J. Algebr. Comb. 33, No. 3, 427-453 (2011). MSC: 05A19 05A15 05B45 16S99 57M15 PDFBibTeX XMLCite \textit{R. J. Marsh} and \textit{P. Martin}, J. Algebr. Comb. 33, No. 3, 427--453 (2011; Zbl 1262.05009) Full Text: DOI arXiv
Franko, Jennifer M. Braid group representations arising from the Yang-Baxter equation. (English) Zbl 1211.20031 J. Knot Theory Ramifications 19, No. 4, 525-538 (2010). MSC: 20F36 57M25 57M27 16T25 PDFBibTeX XMLCite \textit{J. M. Franko}, J. Knot Theory Ramifications 19, No. 4, 525--538 (2010; Zbl 1211.20031) Full Text: DOI arXiv
Links, J. R.; Gould, M. D.; Zhang, Y.-Z. Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras. (English) Zbl 0976.16028 J. Math. Phys. 41, No. 7, 5020-5032 (2000). MSC: 16W30 57M25 81R50 PDFBibTeX XMLCite \textit{J. R. Links} et al., J. Math. Phys. 41, No. 7, 5020--5032 (2000; Zbl 0976.16028) Full Text: DOI arXiv Link
Lyubashenko, Volodimir Tangles and Hopf algebras in braided categories. (English) Zbl 0823.18002 J. Pure Appl. Algebra 98, No. 3, 245-278 (1995). Reviewer: R.H.Street (North Ryde) MSC: 18D10 18E10 16W30 57T05 PDFBibTeX XMLCite \textit{V. Lyubashenko}, J. Pure Appl. Algebra 98, No. 3, 245--278 (1995; Zbl 0823.18002) Full Text: DOI
Gould, M. D. Quantum groups and diagonalization of the braid generator. (English) Zbl 0760.17009 Lett. Math. Phys. 24, No. 3, 183-196 (1992). Reviewer: A.N.Pressley (London) MSC: 17B37 81R50 57M25 16W30 PDFBibTeX XMLCite \textit{M. D. Gould}, Lett. Math. Phys. 24, No. 3, 183--196 (1992; Zbl 0760.17009) Full Text: DOI
Links, J. R.; Gould, M. D. Two variable link polynomials from quantum supergroups. (English) Zbl 0777.57005 Lett. Math. Phys. 26, No. 3, 187-198 (1992). Reviewer: J.R.Links MSC: 57M25 81R10 17B37 16W30 PDFBibTeX XMLCite \textit{J. R. Links} and \textit{M. D. Gould}, Lett. Math. Phys. 26, No. 3, 187--198 (1992; Zbl 0777.57005) Full Text: DOI
Larson, Richard G.; Towber, Jacob Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum Lie algebra”. (English) Zbl 0751.16014 Commun. Algebra 19, No. 12, 3295-3345 (1991). Reviewer: E.J.Taft (New Brunswick) MSC: 16W30 17B37 57T05 18D10 16D90 18E30 PDFBibTeX XMLCite \textit{R. G. Larson} and \textit{J. Towber}, Commun. Algebra 19, No. 12, 3295--3345 (1991; Zbl 0751.16014) Full Text: DOI
Fuchs, Jürgen; van Driel, Peter Some symmetries of quantum dimensions. (English) Zbl 0731.22017 J. Math. Phys. 31, No. 7, 1770-1775 (1990). Reviewer: U.Cattaneo (Maggia) MSC: 22E70 81T40 17B37 16W30 17B35 PDFBibTeX XMLCite \textit{J. Fuchs} and \textit{P. van Driel}, J. Math. Phys. 31, No. 7, 1770--1775 (1990; Zbl 0731.22017) Full Text: DOI