An, Ni; Garoufalidis, Stavros; Li, Shana Yunsheng Algebraic aspects of holomorphic quantum modular forms. (English) Zbl 07897471 Res. Math. Sci. 11, No. 3, Paper No. 54, 20 p. (2024). MSC: 81-XX 11-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Dabkowski, Mieczyslaw K.; Wu, Cheyu Coefficients of Catalan states of lattice crossing. II: Applications of \(\Theta_A\)-state expansions. (English) Zbl 07873640 J. Knot Theory Ramifications 33, No. 3, Article ID 2450003, 50 p. (2024). MSC: 57K10 57K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Joonoh; Kim, Kyoung-Tark Elementary computation of the Jones polynomials for torus links modulo primes. (English) Zbl 1536.57013 J. Knot Theory Ramifications 33, No. 1, Article ID 2350100, 9 p. (2024). MSC: 57K16 57K10 × Cite Format Result Cite Review PDF Full Text: DOI
Diamantis, Ioannis The Kauffman bracket skein module of the lens spaces via unoriented braids. (English) Zbl 1533.57034 Commun. Contemp. Math. 26, No. 2, Article ID 2250076, 36 p. (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 57K31 57K14 20F36 20F38 57K10 57K12 57K45 57K35 57K99 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frohman, Charles; Kania-Bartoszynska, Joanna; Lê, Thang T. Q. Skein algebras of three-manifolds at 4th roots of unity. (English) Zbl 1537.57032 New York J. Math. 29, 1075-1096 (2023). Reviewer: Haimiao Chen (Beijing) MSC: 57K31 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cavicchioli, A.; Spaggiari, F. The character variety of one relator groups. (English) Zbl 07790505 Extr. Math. 38, No. 1, 105-123 (2023). MSC: 57K30 57K31 57M05 20C15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kauffman, Louis H. Combinatorial knot theory and the Jones polynomial. (English) Zbl 1523.57007 J. Knot Theory Ramifications 32, No. 8, Article ID 2340011, 50 p. (2023). MSC: 57K10 57K14 57K16 57R56 57-02 57-03 01A60 01A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dabkowski, Mieczyslaw K.; Rakotomalala, Mihaja \(B\)-type Catalan states of lattice crossing. (English) Zbl 07745278 J. Knot Theory Ramifications 32, No. 8, Article ID 2340005, 28 p. (2023). Reviewer: Jozef H. Przytycki (Washington, D.C.) MSC: 57K10 57K14 57K31 × Cite Format Result Cite Review PDF Full Text: DOI
Díaz, R.; Manchón, P. M. G. Pretzel knots up to nine crossings. (English) Zbl 1540.57005 Topology Appl. 339, Part A, Article ID 108583, 11 p. (2023). MSC: 57K10 57K14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Van Quach Hongler, Cam; Weber, Claude Jones polynomial, Tait conjectures and amphicheirals. (English) Zbl 1522.57021 Enseign. Math. (2) 69, No. 3-4, 261-274 (2023). MSC: 57K10 57K14 57-02 57-03 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Boden, Hans U.; Karimi, Homayun; Sikora, Adam S. Adequate links in thickened surfaces and the generalized Tait conjectures. (English) Zbl 1521.57002 Algebr. Geom. Topol. 23, No. 5, 2271-2308 (2023). Reviewer: William Rushworth (Newcastle upon Tyne) MSC: 57K10 57K12 57K14 57K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gabrovšek, Boštjan; Gügümcü, Neslihan Invariants of multi-linkoids. (English) Zbl 1522.57023 Mediterr. J. Math. 20, No. 3, Paper No. 165, 22 p. (2023). Reviewer: Dimos Goundaroulis (Lausanne) MSC: 57K12 57M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Sossinsky, A. B. Knots, links and their invariants. An elementary course in contemporary knot theory. (English) Zbl 1539.57001 Student Mathematical Library 101. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7151-4/pbk; 978-1-4704-7311-2/ebook). xvii, 128 p. (2023). Reviewer: Claus Ernst (Bowling Green) MSC: 57-01 55-01 57Kxx 57K10 57K12 57K14 57K16 57K18 × Cite Format Result Cite Review PDF Full Text: DOI
Diamantis, Ioannis The Kauffman bracket skein module of the complement of \((2, 2p + 1)\)-torus knots via braids. (English) Zbl 1514.57009 Topology Appl. 327, Article ID 108433, 26 p. (2023). Reviewer: Stephan Rosebrock (Karlsruhe) MSC: 57K10 57K12 57K14 57K35 57K45 57K99 20F36 20F38 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Diamantis, Ioannis Knotoids, pseudo knotoids, braidoids and pseudo braidoids on the torus. (English) Zbl 1531.57003 Commun. Korean Math. Soc. 37, No. 4, 1221-1248 (2022). Reviewer: Sonia Mahmoudi (Sendai) MSC: 57K10 57K12 57K14 57K35 57K45 57K99 20F36 20F38 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ellis-Monaghan, Joanna A.; Moffatt, Iain Skein polynomials and the Tutte polynomial when \(x = y\). (English) Zbl 1512.05215 Ellis-Monaghan, Joanna A. (ed.) et al., Handbook of the Tutte polynomial and related topics. Boca Raton, FL: CRC Press. 266-283 (2022). MSC: 05C31 × Cite Format Result Cite Review PDF Full Text: DOI
Will, David A. Homological polynomial coefficients and the twist number of alternating surface links. (English) Zbl 1514.57016 Algebr. Geom. Topol. 22, No. 8, 3939-3963 (2022). MSC: 57K10 57K32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akimova, Alena Andreevna System analysis of classification of prime knots and links in thickened surfaces of genus 1 and 2. (English) Zbl 1509.57001 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 3, 5-18 (2022). Reviewer: Kenneth A. Perko Jr. (Scarsdale) MSC: 57K10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Choi, Seonmi; Kim, Seongjeong On invariants for surface-links in entropic magmas via marked graph diagrams. (English) Zbl 1512.57015 J. Knot Theory Ramifications 31, No. 13, Article ID 2250086, 26 p. (2022). Reviewer: Emanuele Zappala (New Haven) MSC: 57K12 57K14 57K45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costantino, Francesco; Lê, Thang T. Q. Stated skein algebras of surfaces. (English) Zbl 1509.57013 J. Eur. Math. Soc. (JEMS) 24, No. 12, 4063-4142 (2022). Reviewer: Qi Chen (Winston-Salem) MSC: 57K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akimova, Alyona A. A generalisation of the Kauffman bracket polynomial to determine and analyse structural elements in a RNA secondary structure. (English) Zbl 1520.57001 J. Comput. Eng. Math. 9, No. 2, 3-20 (2022). Reviewer: Jingling Yang (Shenzhen) MSC: 57K10 57Z10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Elhamdadi, Mohamed; Hajij, Mustafa; Levitt, Jesse S. F. \(q\)-series and quantum spin networks. (English) Zbl 1511.57018 J. Topol. Anal. 14, No. 3, 709-727 (2022). Reviewer: Hitoshi Murakami (Sendai) MSC: 57K16 11F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boden, Hans U.; Karimi, Homayun The Jones-Krushkal polynomial and minimal diagrams of surface links. (Le polynôme de Jones-Krushkal et les diagrammes minimaux d’entrelacs de surfaces.) (English. French summary) Zbl 1504.57018 Ann. Inst. Fourier 72, No. 4, 1437-1475 (2022). Reviewer: William Rushworth (Kingston upon Hull) MSC: 57K14 57K12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miura, Go; Suzuki, Sakie The skein algebra of the Borromean rings complement. (English) Zbl 1504.57030 Int. J. Math. 33, No. 8, Article ID 2250049, 28 p. (2022). Reviewer: Ioannis Diamantis (Maastricht) MSC: 57K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jeong, Myeong-Ju; Kim, Yunjae Embedding tangles and the Kauffman bracket polynomials. (English) Zbl 1501.57005 J. Knot Theory Ramifications 31, No. 6, Article ID 2250038, 14 p. (2022). Reviewer: Bo-hyun Kwon (Seoul) MSC: 57K12 57K14 57K10 × Cite Format Result Cite Review PDF Full Text: DOI
Almeida, Shamon V. A.; Gelca, Răzvan Kauffman bracket versus Jones polynomial skein modules. (English) Zbl 1501.57015 J. Knot Theory Ramifications 31, No. 5, Article ID 2250030, 14 p. (2022). Reviewer: Yuta Nozaki (Hiroshima) MSC: 57K31 57K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gelca, Răzvan; Wang, Hongwei The action of the Kauffman bracket skein algebra of the torus on the Kauffman bracket skein module of the 3-twist knot complement. (English) Zbl 1508.57023 J. Knot Theory Ramifications 31, No. 4, Article ID 2250024, 28 p. (2022). Reviewer: Robert Owczarek (Los Alamos) MSC: 57K31 57K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lê, Thang T. Q. Faithfullness of geometric action of skein algebras. (English) Zbl 1497.57024 Acta Math. Vietnam. 47, No. 1, 279-291 (2022). Reviewer: Quentin Faes (Dijon) MSC: 57K30 57K10 57K31 57K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bloomquist, Wade; Lê, Thang T. Q. The Chebyshev-Frobenius homomorphism for stated skein modules of 3-manifolds. (English) Zbl 1498.57016 Math. Z. 301, No. 1, 1063-1105 (2022). Reviewer: Hongwei Wang (Laredo) MSC: 57K31 17B37 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakshi, Rhea Palak; Przytycki, Józef H. Kauffman bracket skein module of the connected sum of handlebodies: a counterexample. (English) Zbl 1494.57025 Manuscr. Math. 167, No. 3-4, 809-820 (2022). Reviewer: Robert Owczarek (Los Alamos) MSC: 57K31 57K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bavier, Brandon; Kalfagianni, Efstratia Guts, volume and skein modules of 3-manifolds. (English) Zbl 1494.57003 Fundam. Math. 256, No. 2, 195-220 (2022). Reviewer: Khaled Qazaqzeh (Irbed) MSC: 57K10 57K14 57K31 57K32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aldrovandi, Ruben; da Rocha, Roldão Jun. A gentle introduction to knots, links and braids. (English) Zbl 1487.57002 Singapore: World Scientific (ISBN 978-981-12-4848-1/hbk; 978-981-12-4932-7/pbk; 978-981-12-4850-4/ebook). xxiii, 189 p. (2022). Reviewer: Valeriano Aiello (Genève) MSC: 57K10 20F36 82B20 × Cite Format Result Cite Review PDF Full Text: DOI
Crampé, Nicolas; Frappat, Luc; Gaboriaud, Julien; Poulain d’Andecy, Loïc; Ragoucy, Eric; Vinet, Luc The Askey-Wilson algebra and its avatars. (English) Zbl 1519.81276 J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021). MSC: 81R05 33D45 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakshi, Rhea Palak; Mukherjee, Sujoy; Przytycki, Józef H.; Silvero, Marithania; Wang, Xiao On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere. (English) Zbl 1490.57018 J. Knot Theory Ramifications 30, No. 14, Article ID 2141001, 29 p. (2021). Reviewer: Valeriano Aiello (Genève) MSC: 57K31 57K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dabkowski, M. K.; Merrill, A. D. Coefficients of Catalan states without nesting and maximal number of returns. (English) Zbl 1494.57027 J. Knot Theory Ramifications 30, No. 12, Article ID 2141007, 24 p. (2021). Reviewer: Zhiyun Cheng (Beijing) MSC: 57K31 × Cite Format Result Cite Review PDF Full Text: DOI
Gügümcü, Neslihan; Kauffman, Louis H. Quantum invariants of knotoids. (English) Zbl 1482.57003 Commun. Math. Phys. 387, No. 3, 1681-1728 (2021). Reviewer: Dimos Goundaroulis (Lausanne) MSC: 57K10 57K12 46L67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Sorsen, Rebecca; Zupan, Alexander The Kauffman bracket expansion of a generalized crossing. (English) Zbl 1484.57012 Topol. Proc. 58, 289-301 (2021). Reviewer: Ioannis Diamantis (Maastricht) MSC: 57K14 57K10 × Cite Format Result Cite Review PDF Full Text: Link
Ito, Noboru On Khovanov complexes. (English) Zbl 1477.57005 Topology Appl. 301, Article ID 107514, 31 p. (2021). Reviewer: Khaled Qazaqzeh (Irbed) MSC: 57K10 57K18 57K16 57K14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frohman, Charles; Kania-Bartoszynska, Joanna; Lê, Thang Dimension and trace of the Kauffman bracket skein algebra. (English) Zbl 1486.57023 Trans. Am. Math. Soc., Ser. B 8, 510-547 (2021). Reviewer: Haimiao Chen (Beijing) MSC: 57K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Karuo, Hiroaki Kauffman bracket skein module of the connected sum of handlebodies and non-injectivity. (English) Zbl 1470.57034 Int. J. Math. 32, No. 7, Article ID 2150042, 9 p. (2021). MSC: 57K31 × Cite Format Result Cite Review PDF Full Text: DOI
Detcherry, Renaud Infinite families of hyperbolic 3-manifolds with finite-dimensional skein modules. (English) Zbl 1479.57044 J. Lond. Math. Soc., II. Ser. 103, No. 4, 1363-1376 (2021). Reviewer: Yasuyoshi Tsutsumi (Kobe) MSC: 57K31 57M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Lê, Thang T. Q.; Thurston, Dylan P.; Yu, Tao Lower and upper bounds for positive bases of skein algebras. (English) Zbl 1475.57018 Int. Math. Res. Not. 2021, No. 4, 3186-3202 (2021). Reviewer: Robert Owczarek (Los Alamos) MSC: 57K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moon, Han-Bom; Wong, Helen The Roger-Yang skein algebra and the decorated Teichmüller space. (English) Zbl 1470.57036 Quantum Topol. 12, No. 2, 265-308 (2021). MSC: 57K31 57K20 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lê, Thang T. Q.; Yu, Tao Stated skein modules of marked 3-manifolds/surfaces, a survey. (English) Zbl 1470.57032 Acta Math. Vietnam. 46, No. 2, 265-287 (2021). MSC: 57K30 57K20 57K10 57-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berest, Yuri; Gallagher, Joseph; Samuelson, Peter Cyclotomic expansion of generalized Jones polynomials. (English) Zbl 1473.57055 Lett. Math. Phys. 111, No. 2, Paper No. 37, 32 p. (2021). Reviewer: Yuta Nozaki (Hiroshima) MSC: 57K31 20C08 57K14 33D52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akimova, A. A. Classification of prime knots in the thickened surface of genus 2 having diagrams with at most 4 crossings. (English) Zbl 1499.57001 J. Comput. Eng. Math. 7, No. 1, 32-46 (2020). MSC: 57K10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Panagiotou, Eleni; Kauffman, Louis H. Knot polynomials of open and closed curves. (English) Zbl 1472.57011 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2240, Article ID 20200124, 20 p. (2020). MSC: 57K14 57K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sossinsky, A. B. Elementary theory of the Alexander-Conway polynomial. (English) Zbl 1490.57008 Math. Notes 108, No. 6, 764-766 (2020); erratum ibid. 109, No. 6, 995 (2021). MSC: 57K14 57-02 × Cite Format Result Cite Review PDF Full Text: DOI
Pagel, Guillaume On the modular Jones polynomial. (Sur le polynôme de Jones modulaire.) (English. French summary) Zbl 1455.57017 C. R., Math., Acad. Sci. Paris 358, No. 8, 901-908 (2020). MSC: 57K14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Mellor, Blake; Nevin, Sean Virtual rational tangles. (English) Zbl 1452.57009 J. Knot Theory Ramifications 29, No. 6, Article ID 2050034, 14 p. (2020). MSC: 57K12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akimova, A. A.; Matveev, S. V.; Tarkaev, V. V. Classification of prime links in the thickened torus having crossing number 5. (English) Zbl 1441.57002 J. Knot Theory Ramifications 29, No. 3, Article ID 2050012, 27 p. (2020). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57K10 × Cite Format Result Cite Review PDF Full Text: DOI
Akimova, Alyona A.; Manturov, Vassily O. Labels instead of coefficients: a label bracket \([\cdot]_{\mathcal{L}}\) which dominates the Jones polynomial \(\mathcal{X}(\cdot)\), the kuperberg bracket \(|\cdot\rangle_{a_2}\), and the normalized arrow polynomial \(\mathcal{W}[\cdot]\). (English) Zbl 1441.57009 J. Knot Theory Ramifications 29, No. 2, Article ID 2040001, 23 p. (2020). MSC: 57K14 × Cite Format Result Cite Review PDF Full Text: DOI
Akimova, A. A. Computation of the Kauffman bracket skeleton. (English) Zbl 1499.57002 J. Comput. Eng. Math. 6, No. 3, 3-13 (2019). MSC: 57K10 57K14 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kogiso, Takeyoshi; Wakui, Michihisa A bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. (English) Zbl 1436.57009 J. Knot Theory Ramifications 28, No. 14, Article ID 1950083, 40 p. (2019). MSC: 57K10 11A55 13F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Diamantis, Ioannis The Kauffman bracket skein module of the handlebody of genus 2 via braids. (English) Zbl 1508.57022 J. Knot Theory Ramifications 28, No. 13, Article ID 1940020, 19 p. (2019). MSC: 57K31 20F36 20F38 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lê, Thang T. Q.; Paprocki, Jonathan On Kauffman bracket skein modules of marked 3-manifolds and the Chebyshev-Frobenius homomorphism. (English) Zbl 1440.57019 Algebr. Geom. Topol. 19, No. 7, 3453-3509 (2019). MSC: 57K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aiello, Valeriano; Conti, Roberto The Jones polynomial and functions of positive type on the oriented Jones-Thompson groups \(\vec{F}\) and \(\vec{T} \). (English) Zbl 1428.43005 Complex Anal. Oper. Theory 13, No. 7, 3127-3149 (2019). Reviewer: Bruno Zimmermann (Trieste) MSC: 43A35 57K14 05C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Diamantis, Ioannis An alternative basis for the Kauffman bracket skein module of the solid torus via braids. (English) Zbl 1423.57024 Adams, Colin C. (ed.) et al., Knots, low-dimensional topology and applications. Knots in Hellas, International Olympic Academy, Greece, July 2016. Papers of the international conference, Ancient Olympia, Greece, July 17–23, 2016. Cham: Springer. Springer Proc. Math. Stat. 284, 329-345 (2019). MSC: 57M27 57M25 20F36 20F38 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gilmer, Patrick M.; Masbaum, Gregor On the skein module of the product of a surface and a circle. (English) Zbl 1428.57009 Proc. Am. Math. Soc. 147, No. 9, 4091-4106 (2019). Reviewer: Khaled Qazaqzeh (Irbed) MSC: 57K31 57M99 57R56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nagasato, Fumikazu Varieties via a filtration of the KBSM and knot contact homology. (English) Zbl 1431.57028 Topology Appl. 264, 251-275 (2019). Reviewer: Haimiao Chen (Beijing) MSC: 57M99 × Cite Format Result Cite Review PDF Full Text: DOI
Bonahon, Francis; Wong, Helen Representations of the Kauffman bracket skein algebra III: closed surfaces and naturality. (English) Zbl 1447.57017 Quantum Topol. 10, No. 2, 325-398 (2019). Reviewer: Sergiy Koshkin (Houston) MSC: 57K20 57K16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aiello, Valeriano; Conti, Roberto Graph polynomials and link invariants as positive type functions on Thompson’s group \(F\). (English) Zbl 1412.43007 J. Knot Theory Ramifications 28, No. 2, Article ID 1950006, 17 p. (2019). Reviewer: Ioan Pop (Iaşi) MSC: 43A35 57M27 05C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lê, Thang T. Q. Quantum Teichmüller spaces and quantum trace map. (English) Zbl 1419.57036 J. Inst. Math. Jussieu 18, No. 2, 249-291 (2019). Reviewer: Haimiao Chen (Beijing) MSC: 57N10 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dabkowski, Mieczyslaw K.; Przytycki, Jozef H. Catalan states of lattice crossing: an application of plucking polynomial. (English) Zbl 1426.57038 Topology Appl. 254, 12-28 (2019). Reviewer: Sujoy Mukherjee (Washington, D.C.) MSC: 57K31 57K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Przytycki, Józef H.; Sikora, Adam S. Skein algebras of surfaces. (English) Zbl 1464.57028 Trans. Am. Math. Soc. 371, No. 2, 1309-1332 (2019). Reviewer: Ioannis Diamantis (Beijing) MSC: 57K31 57M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akimova, A. A.; Tarkaev, V. V. Classification of prime virtual links of genus 1 with at most 4 classical crossings. (English) Zbl 1499.57008 J. Comput. Eng. Math. 5, No. 4, 33-45 (2018). MSC: 57K12 92E10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Queffelec, Hoel; Wedrich, Paul Extremal weight projectors. (English) Zbl 1475.57024 Math. Res. Lett. 25, No. 6, 1911-1936 (2018). MSC: 57K31 17B10 17B37 18A99 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lê, Thang T. Q. On positivity of Kauffman bracket skein algebras of surfaces. (English) Zbl 1411.57036 Int. Math. Res. Not. 2018, No. 5, 1314-1328 (2018). MSC: 57N05 57M27 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Xinming; Sun, Meng Reduced polynomial of framed links in thickened torus. (English) Zbl 1413.57002 J. Math. Res. Appl. 38, No. 1, 95-102 (2018). MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Xinming; Sun, Meng The mod 2 Kauffman bracket skein module of thickened torus. (English) Zbl 1413.57001 Commun. Math. Res. 34, No. 1, 89-96 (2018). MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI
Frohman, Charles; Kania-Bartoszynska, Joanna The structure of the Kauffman bracket skein algebra at roots of unity. (English) Zbl 1417.57013 Math. Z. 289, No. 3-4, 889-920 (2018). Reviewer: Ioannis Diamantis (Beijing) MSC: 57M27 57N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsuji, Shunsuke Dehn twists on Kauffman bracket skein algebras. (English) Zbl 1432.57031 Kodai Math. J. 41, No. 1, 16-41 (2018). MSC: 57K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Tsuji, Shunsuke The Torelli group and the Kauffman bracket skein module. (English) Zbl 1396.57025 Math. Proc. Camb. Philos. Soc. 165, No. 1, 163-178 (2018). MSC: 57M27 57M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bataineh, Khaled Kauffman bracket on rational tangles and rational knots. (English) Zbl 1387.57021 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 19th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2017. Sofia: Avangard Prima. Geometry, Integrability and Quantization 19, 75-90 (2018). MSC: 57M27 × Cite Format Result Cite Review PDF
Tuzun, Robert E.; Sikora, Adam S. Verification of the Jones unknot conjecture up to 22 crossings. (English) Zbl 1386.57016 J. Knot Theory Ramifications 27, No. 3, Article ID 1840009, 18 p. (2018). MSC: 57M25 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carrega, Alessio The Tait conjecture in \(\#_g(S^1 \times S^2)\). (English) Zbl 1384.57007 J. Knot Theory Ramifications 27, No. 1, Article ID 1850011, 28 p. (2018). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57M25 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gabrovšek, Boštjan; Manfredi, Enrico On the KBSM of links in lens spaces. (English) Zbl 1401.57013 J. Knot Theory Ramifications 27, No. 1, Article ID 1850006, 18 p. (2018). Reviewer: Ioannis Diamantis (Beijing) MSC: 57M25 57M27 57M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tingley, Peter A minus sign that used to annoy me but now I know why it is there. (English) Zbl 1410.57009 Morrison, Scott (ed.) et al., Proceedings of the 2014 Maui and 2015 Qinhuangdao conferences in honour of Vaughan F. R. Jones’ 60th birthday. Canberra: Australian National University, Centre for Mathematics and its Applications. Proc. Cent. Math. Appl. Aust. Natl. Univ. 46, 415-427 (2017). Reviewer: Claus Ernst (Bowling Green) MSC: 57M25 17B37 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Eliahou, Shalom; Fromentin, Jean A remarkable 20-crossing tangle. (English) Zbl 1379.57020 J. Knot Theory Ramifications 26, No. 14, Article ID 1750091, 12 p. (2017). MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Sang Youl Polynomial invariants for virtual marked graphs and virtual surface-link theory I. (English) Zbl 1380.57031 J. Knot Theory Ramifications 26, No. 12, Article ID 1750081, 35 p. (2017). Reviewer: Inasa Nakamura (Tokyo) MSC: 57Q45 57M25 57M27 × Cite Format Result Cite Review PDF Full Text: DOI
Carrega, Alessio Nine generators of the skein space of the 3-torus. (English) Zbl 1376.57013 Algebr. Geom. Topol. 17, No. 6, 3449-3460 (2017). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonahon, Francis; Wong, Helen Representations of the Kauffman bracket skein algebra. II: Punctured surfaces. (English) Zbl 1422.57032 Algebr. Geom. Topol. 17, No. 6, 3399-3434 (2017). MSC: 57M27 57R56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Santharoubane, Ramanujan Action of \(M(0,2n)\) on some kernel spaces coming from SU(2)-TQFT. (English) Zbl 1397.57049 J. Lond. Math. Soc., II. Ser. 95, No. 3, 785-803 (2017). Reviewer: Haimiao Chen (Beijing) MSC: 57R56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carrega, Alessio; Martelli, Bruno Shadows, ribbon surfaces, and quantum invariants. (English) Zbl 1388.57008 Quantum Topol. 8, No. 2, 249-294 (2017). Reviewer: Qi Chen (Winston-Salem) MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hajij, Mustafa The colored Kauffman skein relation and the head and tail of the colored Jones polynomial. (English) Zbl 1365.57017 J. Knot Theory Ramifications 26, No. 3, Article ID 1741002, 14 p. (2017). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57M27 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caprau, Carmen; Chichester, Alex; Chu, Patrick Three approaches to a bracket polynomial for singular links. (English) Zbl 1355.57004 Involve 10, No. 2, 197-218 (2017). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 57M25 57M27 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Im, Young Ho Parity bracket polynomial via some parity of virtual links. (English) Zbl 1373.57017 East Asian Math. J. 32, No. 5, 767-774 (2016). MSC: 57M25 × Cite Format Result Cite Review PDF Full Text: DOI
Chbili, Nafaa Ribbon graphs and Temperley-Lieb algebra. (English) Zbl 1354.57021 Gongopadhyay, Krishnendu (ed.) et al., Knot theory and its applications. ICTS program knot theory and its applications (KTH-2013), IISER Mohali, India, December 10–20, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2257-8/pbk; 978-1-4704-3526-4/ebook). Contemporary Mathematics 670, 299-312 (2016). MSC: 57M27 05C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kauffman, Louis H. Knot theory. (English) Zbl 1354.57002 Gongopadhyay, Krishnendu (ed.) et al., Knot theory and its applications. ICTS program knot theory and its applications (KTH-2013), IISER Mohali, India, December 10–20, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2257-8/pbk; 978-1-4704-3526-4/ebook). Contemporary Mathematics 670, 3-62 (2016). MSC: 57-02 57M25 × Cite Format Result Cite Review PDF Full Text: DOI
Przytycki, Józef H. \(q\)-polynomial invariant of rooted trees. (English) Zbl 1358.05057 Arnold Math. J. 2, No. 4, 449-461 (2016). MSC: 05C05 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carrega, Alessio The Tait conjecture in \(S^1 \times S^2\). (English) Zbl 1354.57020 J. Knot Theory Ramifications 25, No. 11, Article ID 1650063, 22 p. (2016). Reviewer: Kenneth A. Perko jun. (New York) MSC: 57M27 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Przytycki, Józef H. On Slavik Jablan’s work on 4-moves. (English) Zbl 1353.57017 J. Knot Theory Ramifications 25, No. 9, Article ID 1641014, 26 p. (2016). Reviewer: Kenneth A. Perko jun. (New York) MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abernathy, Susan M.; Gilmer, Patrick M. Even and odd Kauffman bracket ideals for genus-1 tangles. (English) Zbl 1353.57002 New York J. Math. 22, 1039-1053 (2016). MSC: 57M25 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Berest, Yuri; Samuelson, Peter Double affine Hecke algebras and generalized Jones polynomials. (English) Zbl 1356.57006 Compos. Math. 152, No. 7, 1333-1384 (2016). Reviewer: Kazuo Habiro (Kyoto) MSC: 57M25 20C08 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Bobb, Martin; Peifer, Dylan; Kennedy, Stephen; Wong, Helen Presentations of Roger and Yang’s Kauffman bracket arc algebra. (English) Zbl 1348.57021 Involve 9, No. 4, 689-698 (2016). MSC: 57M27 57M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bobb, Martin; Kennedy, Stephen; Wong, Helen; Peifer, Dylan Roger and Yang’s Kauffman bracket arc algebra is finitely generated. (English) Zbl 1382.57005 J. Knot Theory Ramifications 25, No. 6, Article ID 1650034, 14 p. (2016). Reviewer: Slava Krushkal (Charlottesville) MSC: 57M27 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonahon, Francis; Wong, Helen Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations. (English) Zbl 1383.57015 Invent. Math. 204, No. 1, 195-243 (2016); correction A. Aizenbud et al., Invent. Math. 227, No. 3, 1431–1434 (2022). Reviewer: Slava Krushkal (Charlottesville) MSC: 57M27 57M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Changsong Temperley-Lieb algebra approach to Catalan states of generalized crossing and lattice crossing. (English) Zbl 1347.57021 J. Knot Theory Ramifications 25, No. 5, Article ID 1650027, 27 p. (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 57M99 × Cite Format Result Cite Review PDF Full Text: DOI
Hajij, Mustafa The tail of a quantum spin network. (English) Zbl 1357.57036 Ramanujan J. 40, No. 1, 135-176 (2016). MSC: 57M27 11P84 57M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv