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 PDFBibTeX XMLCite \textit{I. Diamantis}, Topology Appl. 327, Article ID 108433, 26 p. (2023; Zbl 1514.57009) 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 PDFBibTeX XMLCite \textit{R. Aldrovandi} and \textit{R. da Rocha Jun.}, A gentle introduction to knots, links and braids. Singapore: World Scientific (2022; Zbl 1487.57002) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Berest} et al., Lett. Math. Phys. 111, No. 2, Paper No. 37, 32 p. (2021; Zbl 1473.57055) Full Text: DOI arXiv
Chen, Yuzhu; Hu, Xun; Kitov, Nikita V.; Luo, Yanfeng; Volkov, Mikhail V. Identities of the Kauffman monoid \(\mathcal{K}_3\). (English) Zbl 1453.20075 Commun. Algebra 48, No. 5, 1956-1968 (2020). Reviewer: Peter R. Jones (Milwaukee) MSC: 20M05 20M07 PDFBibTeX XMLCite \textit{Y. Chen} et al., Commun. Algebra 48, No. 5, 1956--1968 (2020; Zbl 1453.20075) 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 PDFBibTeX XMLCite \textit{I. Diamantis}, J. Knot Theory Ramifications 28, No. 13, Article ID 1940020, 19 p. (2019; Zbl 1508.57022) 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 PDFBibTeX XMLCite \textit{I. Diamantis}, Springer Proc. Math. Stat. 284, 329--345 (2019; Zbl 1423.57024) Full Text: DOI arXiv
Aicardi, Francesca; Juyumaya, Jesús Kauffman type invariants for tied links. (English) Zbl 1395.57005 Math. Z. 289, No. 1-2, 567-591 (2018); correction ibid. 297, No. 3-4, 1953-1954 (2021). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57K14 20C08 20F36 PDFBibTeX XMLCite \textit{F. Aicardi} and \textit{J. Juyumaya}, Math. Z. 289, No. 1--2, 567--591 (2018; Zbl 1395.57005) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Y. Berest} and \textit{P. Samuelson}, Compos. Math. 152, No. 7, 1333--1384 (2016; Zbl 1356.57006) Full Text: DOI arXiv
Li, Weiping Lecture notes on knot invariants. (English) Zbl 1332.57012 Hackensack, NJ: World Scientific (ISBN 978-981-4675-95-6/hbk; 978-981-4675-96-3/pbk; 978-981-4675-98-7/ebook). xii, 232 p. (2016). Reviewer: Dieter Erle (Dortmund) MSC: 57M27 57-02 57M25 57R65 57M05 20C08 20C07 20C15 PDFBibTeX XMLCite \textit{W. Li}, Lecture notes on knot invariants. Hackensack, NJ: World Scientific (2016; Zbl 1332.57012) Full Text: DOI
Piwocki, A. H. A new proof of the faithfulness of the Temperley-Lieb representation of \(B_3\). (English) Zbl 1223.57010 Demonstr. Math. 44, No. 2, 433-443 (2011). Reviewer: Luisa Paoluzzi (Marseille) MSC: 57M25 20F36 20G05 PDFBibTeX XMLCite \textit{A. H. Piwocki}, Demonstr. Math. 44, No. 2, 433--443 (2011; Zbl 1223.57010) Full Text: DOI
Larsen, Michael J.; Rowell, Eric C. An algebra-level version of a link-polynomial identity of Lickorish. (English) Zbl 1154.57007 Math. Proc. Camb. Philos. Soc. 144, No. 3, 623-638 (2008). Reviewer: Lorenzo Traldi (Easton) MSC: 57M25 20F36 PDFBibTeX XMLCite \textit{M. J. Larsen} and \textit{E. C. Rowell}, Math. Proc. Camb. Philos. Soc. 144, No. 3, 623--638 (2008; Zbl 1154.57007) Full Text: DOI arXiv
Bokut’, L. A.; Lee, D. V. Gröbner-Shirshov basis for the Temperley-Lieb-Kauffman monoid. (Russian. English summary) Zbl 1191.16024 Izv. Ural. Gos. Univ. 36, Mat. Mekh. 7, 49-66, 190 (2005). MSC: 16S36 20M05 16S15 13P10 57M25 PDFBibTeX XMLCite \textit{L. A. Bokut'} and \textit{D. V. Lee}, Izv. Ural. Gos. Univ., Mat. Mekh. 7(36), 49--66, 190 (2005; Zbl 1191.16024)
Nakabo, Shigekazu An invariant of links in a handlebody associated with the spin \(j\) representation of \(U_ q({\mathfrak sl}(2,\mathbb{C}))\). (English) Zbl 0801.57003 Proc. Am. Math. Soc. 118, No. 2, 645-655 (1993). Reviewer: S.Nakabo (Fukuoka) MSC: 57M25 81R50 57N10 20F36 PDFBibTeX XMLCite \textit{S. Nakabo}, Proc. Am. Math. Soc. 118, No. 2, 645--655 (1993; Zbl 0801.57003) Full Text: DOI
Ko, Ki Hyoung; Smolinsky, Lawrence The framed braid group and representations. (English) Zbl 0762.57010 Knots 90, Proc. Int. Conf. Knot Theory Rel. Topics, Osaka/Japan 1990, 289-297 (1992). MSC: 57N10 20F36 PDFBibTeX XMLCite \textit{K. H. Ko} and \textit{L. Smolinsky}, in: Knots 90. Proceedings of the international conference on knot theory and related topics, held in Osaka, Japan, August 15-19, 1990. Berlin etc.: Walter de Gruyter. 289--297 (1992; Zbl 0762.57010)
Murakami, Jun The parallel version of polynomial invariants of links. (English) Zbl 0704.57003 Osaka J. Math. 26, No. 1, 1-55 (1989). Reviewer: L.P.Neuwirth MSC: 57M25 20F36 PDFBibTeX XMLCite \textit{J. Murakami}, Osaka J. Math. 26, No. 1, 1--55 (1989; Zbl 0704.57003)
Birman, Joan S.; Wenzl, Hans Braids, link polynomials and a new algebra. (English) Zbl 0684.57004 Trans. Am. Math. Soc. 313, No. 1, 249-273 (1989). Reviewer: J.Hillman MSC: 57M25 20F29 20F36 20C07 PDFBibTeX XMLCite \textit{J. S. Birman} and \textit{H. Wenzl}, Trans. Am. Math. Soc. 313, No. 1, 249--273 (1989; Zbl 0684.57004) Full Text: DOI
Turaev, V. G. The Yang-Baxter equation and invariants of links. (English) Zbl 0648.57003 Invent. Math. 92, No. 3, 527-553 (1988). Reviewer: J.Hillman MSC: 57M25 20F36 PDFBibTeX XMLCite \textit{V. G. Turaev}, Invent. Math. 92, No. 3, 527--553 (1988; Zbl 0648.57003) Full Text: DOI EuDML