Anghel, Cristina Ana-Maria A topological model for the coloured Alexander invariants. (English) Zbl 1519.57015 Topology Appl. 329, Article ID 108465, 49 p. (2023). Reviewer: Hitoshi Murakami (Sendai) MSC: 57K14 57K16 PDFBibTeX XMLCite \textit{C. A. M. Anghel}, Topology Appl. 329, Article ID 108465, 49 p. (2023; Zbl 1519.57015) Full Text: DOI arXiv
Anghel, Cristina Quantum knot invariants via the topology of configuration spaces. (English) Zbl 1507.57009 Lond. Math. Soc., Newsl. 2023, No. 504, 15-19 (2023). MSC: 57K16 57K31 55R80 57-02 PDFBibTeX XMLCite \textit{C. Anghel}, Lond. Math. Soc., Newsl. 2023, No. 504, 15--19 (2023; Zbl 1507.57009) Full Text: Link
Avohou, Remi C.; Ben Geloun, Joseph; Hounkonnou, Mahouton N. Extending the Tutte and Bollobás-Riordan polynomials to rank 3 weakly coloured stranded graphs. (English) Zbl 1510.05124 Comb. Probab. Comput. 31, No. 3, 507-549 (2022). MSC: 05C31 05C10 57M15 PDFBibTeX XMLCite \textit{R. C. Avohou} et al., Comb. Probab. Comput. 31, No. 3, 507--549 (2022; Zbl 1510.05124) Full Text: DOI arXiv
Collari, Carlo; Lisca, Paolo On symmetric equivalence of symmetric union diagrams. (English) Zbl 1516.57004 Osaka J. Math. 58, No. 4, 755-765 (2021). Reviewer: Valeriano Aiello (Genève) MSC: 57K10 57K16 PDFBibTeX XMLCite \textit{C. Collari} and \textit{P. Lisca}, Osaka J. Math. 58, No. 4, 755--765 (2021; Zbl 1516.57004) Full Text: arXiv Link
Giasemidis, Georgios; Tierz, Miguel Torus knot polynomials and Susy Wilson loops. (English) Zbl 1305.57025 Lett. Math. Phys. 104, No. 12, 1535-1556 (2014). MSC: 57M27 33D15 15B52 PDFBibTeX XMLCite \textit{G. Giasemidis} and \textit{M. Tierz}, Lett. Math. Phys. 104, No. 12, 1535--1556 (2014; Zbl 1305.57025) Full Text: DOI arXiv
Cohen, Moshe; Dasbach, Oliver T.; Russell, Heather M. A twisted dimer model for knots. (English) Zbl 1311.57010 Fundam. Math. 225, 57-74 (2014). Reviewer: Lorena Armas-Sanabria (México D. F.) MSC: 57M25 57M27 PDFBibTeX XMLCite \textit{M. Cohen} et al., Fundam. Math. 225, 57--74 (2014; Zbl 1311.57010) Full Text: DOI arXiv
Costantino, Francesco; Murakami, Jun On the SL\((2,\mathbb C)\) quantum \(6j\)-symbols and their relation to the hyperbolic volume. (English) Zbl 1280.57013 Quantum Topol. 4, No. 3, 303-351 (2013). Reviewer: Daniel Moskovich (Singapore) MSC: 57M27 17B37 46L37 46L54 82B99 PDFBibTeX XMLCite \textit{F. Costantino} and \textit{J. Murakami}, Quantum Topol. 4, No. 3, 303--351 (2013; Zbl 1280.57013) Full Text: DOI arXiv
Kauffman, Louis H. Knots and physics. 4th ed. (English) Zbl 1266.57001 Series on Knots and Everything 53. Singapore: World Scientific (ISBN 978-981-4383-00-4/hbk; 978-981-4383-01-1/pbk). xviii, 846 p. (2013). Reviewer: Claus Ernst (Bowling Green) MSC: 57-01 81-01 57M25 57M15 57Q35 81R10 81R25 92D20 17B37 16W99 94C99 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Knots and physics. 4th ed. Singapore: World Scientific (2013; Zbl 1266.57001)
Bollobás, B.; Pebodoy, L.; Weinreich, D. A state space definition of the HOMFLY invariant. (English) Zbl 1009.57005 Bollobás, Béla (ed.), Contemporary combinatorics. Collection of survey papers in combinatorics based on lectures given in the workshop on probabilistic combinatorics at the Paul Erdős Summer Research Center in Mathematics, Budapest, Hungary. Berlin: Springer. Bolyai Soc. Math. Stud. 10, 139-184 (2002). Reviewer: Michael Heusener (Aubiére Cedex) MSC: 57M25 PDFBibTeX XMLCite \textit{B. Bollobás} et al., Bolyai Soc. Math. Stud. 10, 139--184 (2002; Zbl 1009.57005)
Brunella, Marco Minimal models of foliated algebraic surfaces. (English) Zbl 0969.14009 Bull. Soc. Math. Fr. 127, No. 2, 289-305 (1999). MSC: 14E30 37F75 14J26 14E07 32S65 57R50 PDFBibTeX XMLCite \textit{M. Brunella}, Bull. Soc. Math. Fr. 127, No. 2, 289--305 (1999; Zbl 0969.14009) Full Text: DOI Numdam EuDML Link
Rodríguez-Plaza, M. J. Link invariants from \(N\)-state vertex models: An alternative construction independent of statistical models. (English) Zbl 0925.57006 Nucl. Phys., B 475, No. 3, 691-709 (1996). MSC: 57M25 81R50 82B23 PDFBibTeX XMLCite \textit{M. J. Rodríguez-Plaza}, Nucl. Phys., B 475, No. 3, 691--709 (1996; Zbl 0925.57006) Full Text: DOI arXiv
Blanchet, C.; Masbaum, G. Topological quantum field theories for surfaces with spin structure. (English) Zbl 0854.57025 Duke Math. J. 82, No. 2, 229-267 (1996). Reviewer: V.Abramov (Tartu) MSC: 57R90 82B23 PDFBibTeX XMLCite \textit{C. Blanchet} and \textit{G. Masbaum}, Duke Math. J. 82, No. 2, 229--267 (1996; Zbl 0854.57025) Full Text: DOI
Ge, Mo-Lin; Hu, Liangzhong; Wang, Yiwen Knot theory, partition function and fractals. (English) Zbl 0851.57004 J. Knot Theory Ramifications 5, No. 1, 37-54 (1996). MSC: 57M25 82B23 PDFBibTeX XMLCite \textit{M.-L. Ge} et al., J. Knot Theory Ramifications 5, No. 1, 37--54 (1996; Zbl 0851.57004) Full Text: DOI
Jaeger, François New constructions of models for link invariants. (English) Zbl 0878.57007 Pac. J. Math. 176, No. 1, 71-116 (1996). MSC: 57M25 PDFBibTeX XMLCite \textit{F. Jaeger}, Pac. J. Math. 176, No. 1, 71--116 (1996; Zbl 0878.57007) Full Text: DOI
Kauffman, Louis H. Polynomial invariants in knot theory. (English) Zbl 0891.57006 Yang, Chen Ning (ed.) et al., Braid group, knot theory and statistical mechanics II. London: World Scientific. Adv. Ser. Math. Phys. 17, 202-233 (1994). Reviewer: T.Lawson (New Orleans) MSC: 57M25 83C45 81Q30 81R05 81R10 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Adv. Ser. Math. Phys. 17, 202--233 (1994; Zbl 0891.57006)
Deguchi, Tetsuo; Wadati, Miki Solvable models, link invariants and their applications to physics. (English) Zbl 0845.57005 Yang, Chen Ning (ed.) et al., Braid group, knot theory and statistical mechanics II. London: World Scientific. Adv. Ser. Math. Phys. 17, 20-69 (1994). MSC: 57M25 82B23 PDFBibTeX XMLCite \textit{T. Deguchi} and \textit{M. Wadati}, Adv. Ser. Math. Phys. 17, 20--69 (1994; Zbl 0845.57005)
Turaev, V. G. Quantum invariants of knots and 3-manifolds. (English) Zbl 0812.57003 de Gruyter Studies in Mathematics. 18. Berlin: Walter de Gruyter. x, 588 p. (1994). Reviewer: L.P.Neuwirth (Princeton) MSC: 57-02 57N10 57M25 81R50 18D10 18D20 18D35 57N13 17B37 PDFBibTeX XMLCite \textit{V. G. Turaev}, Quantum invariants of knots and 3-manifolds. Berlin: Walter de Gruyter (1994; Zbl 0812.57003)
Deguchi, Tetsuo On numerical applications of the Vassiliev invariants to computational problems in physics. (English) Zbl 0883.57014 Yetter, David N. (ed.), Proceedings of the conference on quantum topology, Manhattan, KS, USA, March 24–28, 1993. Singapore: World Scientific. 87-98 (1994). MSC: 57M25 PDFBibTeX XMLCite \textit{T. Deguchi}, in: Proceedings of the conference on quantum topology, Manhattan, KS, USA, March 24--28, 1993. Singapore: World Scientific. 87--98 (1994; Zbl 0883.57014)
Morgan, John W.; Mrowka, Tomasz S. On the diffeomorphism classification of regular elliptic surfaces. (English) Zbl 0807.57015 Int. Math. Res. Not. 1993, No. 6, 183-184 (1993). Reviewer: A.L.Onishchik (Yaroslavl) MSC: 57N13 57R57 14J25 PDFBibTeX XMLCite \textit{J. W. Morgan} and \textit{T. S. Mrowka}, Int. Math. Res. Not. 1993, No. 6, 183--184 (1993; Zbl 0807.57015) Full Text: DOI
Morton, H. R. Invariants of links and 3-manifolds from skein theory and from quantum groups. (English) Zbl 0816.57003 Bozhüyük, Mehmet Emin (ed.), Topics in knot theory. Proceedings of the NATO Advanced Study Institute, Erzurum, Turkey, September 1-12, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 399, 107-155 (1993). Reviewer: J.A.Hillman (Sydney) MSC: 57M25 57N10 17B37 82B23 81T99 PDFBibTeX XMLCite \textit{H. R. Morton}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 399, 107--155 (1993; Zbl 0816.57003)
Piunikhin, Sergey State sum models for trivalent knotted graph invariants using quantum group \(SL_ q(2)\). (English) Zbl 0774.57010 J. Knot Theory Ramifications 1, No. 3, 253-278 (1992). Reviewer: K.Murasugi (Toronto) MSC: 57M25 57M15 82B23 PDFBibTeX XMLCite \textit{S. Piunikhin}, J. Knot Theory Ramifications 1, No. 3, 253--278 (1992; Zbl 0774.57010) Full Text: DOI
Millett, Kenneth C. An invariant of \(3\)-valent spatial graphs. (English) Zbl 1039.57500 Dovermann, Karl-Heinz (ed.), Topology - Hawaii. Proceedings of a conference, held at the University of Hawaii, Honolulu, HI, USA, August 12-18, 1990. Singapore: World Scientific (ISBN 981-02-0683-6). 165-190 (1992). MSC: 57M15 05C10 92D20 PDFBibTeX XMLCite \textit{K. C. Millett}, in: Topology - Hawaii. Proceedings of a conference, held at the University of Hawaii, Honolulu, HI, USA, August 12-18, 1990. Singapore: World Scientific. 165--190 (1992; Zbl 1039.57500)
Kauffman, Louis H. \(q\)-deformed spin networks, and Turaev-Viro invariants for 3-manifolds. (English) Zbl 0818.57012 Catto, Sultan (ed.) et al., Differential geometric methods in theoretical physics. Proceedings of the 20th international conference, June 3-7, 1991, New York City, NY, USA. Vol. 1-2. Singapore: World Scientific. 1036-1056 (1992). MSC: 57N10 82B23 05C75 57M25 82B20 81R50 05C15 PDFBibTeX XMLCite \textit{L. H. Kauffman}, in: Differential geometric methods in theoretical physics. Proceedings of th 20th international conference, June 3-7, 1991, New York City, NY, USA. Vol. 1-2. Singapore: World Scientific. 1036--1056 (1992; Zbl 0818.57012)
Wadati, Miki; Deguchi, Tetsuo; Akutsu, Yasuhiro Yang-Baxter relation, exactly solvable models and link polynomials. (English) Zbl 0745.57004 Quantum groups, Proc. Workshops, Euler Int. Math. Inst. Leningrad/USSR 1990, Lect. Notes Math. 1510, 373-388 (1992). MSC: 57M25 82B23 81R50 17B37 PDFBibTeX XMLCite \textit{M. Wadati} et al., Lect. Notes Math. 1510, 373--388 (1992; Zbl 0745.57004)
Murakami, Jun The multi-variable Alexander polynomial and a one-parameter family of representations of \({\mathcal U}_ q({\mathfrak sl}(2,\mathbb{C}))\) at \(q^ 2 = -1\). (English) Zbl 0752.57004 Quantum groups, Proc. Workshops, Euler Int. Math. Inst. Leningrad/USSR 1990, Lect. Notes Math. 1510, 350-353 (1992). Reviewer: J.A.Hillman (Sydney) MSC: 57M25 17B37 82B23 81R50 PDFBibTeX XMLCite \textit{J. Murakami}, Lect. Notes Math. 1510, 350--353 (1992; Zbl 0752.57004)
Kauffman, Louis H. Knots and physics. (English) Zbl 0782.57004 New scientific applications of geometry and topology, AMS Short Course, Baltimore/MD (USA) 1992, Proc. Symp. Appl. Math. 45, 131-246 (1992). Reviewer: W.Heil (Tallahassee) MSC: 57M25 57N10 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Proc. Symp. Appl. Math. 45, 131--246 (1992; Zbl 0782.57004)
Wu, F. Y. Jones polynomial as a Potts model partition function. (English) Zbl 0769.57008 J. Knot Theory Ramifications 1, No. 1, 47-57 (1992). MSC: 57M25 82B23 PDFBibTeX XMLCite \textit{F. Y. Wu}, J. Knot Theory Ramifications 1, No. 1, 47--57 (1992; Zbl 0769.57008) Full Text: DOI
Jaeger, François Strongly regular graphs and spin models for the Kauffman polynomial. (English) Zbl 0773.57005 Geom. Dedicata 44, No. 1, 23-52 (1992). Reviewer: R.Löwen (Braunschweig) MSC: 57M25 05C75 82B23 PDFBibTeX XMLCite \textit{F. Jaeger}, Geom. Dedicata 44, No. 1, 23--52 (1992; Zbl 0773.57005) Full Text: DOI
Jones, V. F. R. From quantum theory to knot theory and back: A von Neumann algebra excursion. (English) Zbl 0965.46042 Browder, Felix E. (ed.), Mathematics into the twenty-first century. Proceedings of the AMS centennial symposium, Providence, RI, USA, August 8-12, 1988. Providence, RI: American Mathematical Society. Am. Math. Soc. Centen. Publ. 2, 321-336 (1992). MSC: 46L60 46L10 81R50 57M25 82B23 PDFBibTeX XMLCite \textit{V. F. R. Jones}, Am. Math. Soc. Centen. Publ. 2, 321--336 (1992; Zbl 0965.46042)
Lawrence, R. J. Connections between CFT and topology via knot theory. (English) Zbl 0762.57012 Differential geometric methods in theoretical physics, Proc. 19th Int. Conf., Rapallo/Italy 1990, Lect. Notes Phys. 375, 245-254 (1991). Reviewer: S.A.Piunikhin (Moskva) MSC: 57N10 20F36 82B23 57M25 81T40 81R50 PDFBibTeX XMLCite \textit{R. J. Lawrence}, Lect. Notes Phys. 375, 245--254 (1991; Zbl 0762.57012)
Kauffman, Louis H. Knots and physics. (English) Zbl 0733.57004 Series on Knots and Everything, 1. Singapore etc.: World Scientific. xi, 538 p. (1991). Reviewer: D.Repovš (Ljubljana) MSC: 57M25 81R10 92D20 57-01 57-02 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Knots and physics. Singapore etc.: World Scientific (1991; Zbl 0733.57004)
Kauffman, L. H.; Saleur, H. Free fermions and the Alexander-Conway polynomial. (English) Zbl 0751.57004 Commun. Math. Phys. 141, No. 2, 293-327 (1991). Reviewer: H.Saleur MSC: 57M25 17B37 81R50 82B23 PDFBibTeX XMLCite \textit{L. H. Kauffman} and \textit{H. Saleur}, Commun. Math. Phys. 141, No. 2, 293--327 (1991; Zbl 0751.57004) Full Text: DOI
Wadati, Miki; Deguchi, Tetsuo Old and new link polynomials from the theory of exactly solvable models. (English) Zbl 0741.57008 Physica D 51, No. 1-3, 376-387 (1991). MSC: 57M25 PDFBibTeX XMLCite \textit{M. Wadati} and \textit{T. Deguchi}, Physica D 51, No. 1--3, 376--387 (1991; Zbl 0741.57008) Full Text: DOI
Kauffman, Louis H. An invariant of regular isotopy. (English) Zbl 0763.57004 Trans. Am. Math. Soc. 318, No. 2, 417-471 (1990). Reviewer: K.Murasugi (Toronto) MSC: 57M25 57M15 82B23 81R50 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Trans. Am. Math. Soc. 318, No. 2, 417--471 (1990; Zbl 0763.57004) Full Text: DOI
Kohno, Toshitake (ed.) New developments in the theory of knots. (English) Zbl 0727.57001 Advanced Series in Mathematical Physics, 11. Singapore etc.: World Scientific. ix, 906 p. $ 86.00/hbk; $ 48.00/pbk (1990). Reviewer: E.D.Belokolos (Kiev) MSC: 57-06 00B60 57M25 PDFBibTeX XMLCite \textit{T. Kohno} (ed.), New developments in the theory of knots. Singapore etc.: World Scientific (1990; Zbl 0727.57001)
Wadati, Miki; Akutsu, Yasuhiro; Deguchi, Tetsuo Link polynomials and exactly solvable models. (English) Zbl 0728.57007 Nonlinear physics, Proc. Int. Conf., Shanghai/China 1989, 111-135 (1990). MSC: 57M25 20F36 82C23 PDFBibTeX XML
Deguchi, Tetsuo; Akutsu, Yasuhiro Graded solutions of the Yang-Baxter relation and link polynomials. (English) Zbl 0724.57002 J. Phys. A, Math. Gen. 23, No. 11, 1861-1875 (1990). Reviewer: H.R.Morton (Liverpool) MSC: 57M25 17A70 20G05 PDFBibTeX XMLCite \textit{T. Deguchi} and \textit{Y. Akutsu}, J. Phys. A, Math. Gen. 23, No. 11, 1861--1875 (1990; Zbl 0724.57002) Full Text: DOI
Ge, M. L.; Li, Y. Q.; Xue, K. Extended state model and group approach to new polynomials. (English) Zbl 0711.57007 J. Phys. A, Math. Gen. 23, No. 5, 619-639 (1990). MSC: 57M25 81T25 82B20 81T99 81U20 57N10 PDFBibTeX XMLCite \textit{M. L. Ge} et al., J. Phys. A, Math. Gen. 23, No. 5, 619--639 (1990; Zbl 0711.57007) Full Text: DOI Link
Jones, V. F. R. Knots, braids and statistical mechanics. (English) Zbl 0772.57008 Advances in differential geometry and topology, 149-184 (1990). Reviewer: H.R.Morton (Liverpool) MSC: 57M25 82B23 PDFBibTeX XMLCite \textit{V. F. R. Jones}, in: Advances in differential geometry and topology. Singapore: World Scientific. 149--184 (1990; Zbl 0772.57008)
Kohno, Toshitake Monodromy representations of braid groups. (English. Japanese original) Zbl 0849.20027 Sugaku Expo. 7, No. 2, 117-141 (1994); translation from Sugaku 41, No. 4, 305-319 (1989). MSC: 20F36 17B37 81T40 57M25 53D50 81R50 PDFBibTeX XMLCite \textit{T. Kohno}, Sugaku Expo. 7, No. 2, 1 (1989; Zbl 0849.20027); translation from Sugaku 41, No. 4, 305--319 (1989)
Kohno, Toshitake Monodromy representations of braid groups. (Japanese) Zbl 0727.20030 Sûgaku 41, No. 4, 305-319 (1989). Reviewer: H.Yamada (Tokyo) MSC: 20F36 17B37 81T40 57M25 53D50 81R50 PDFBibTeX XMLCite \textit{T. Kohno}, Sūgaku 41, No. 4, 305--319 (1989; Zbl 0727.20030)
Jaeger, François Composition products and models for the homfly polynomial. (English) Zbl 0705.57004 Enseign. Math., II. Sér. 35, No. 3-4, 323-361 (1989). Reviewer: G.Burde MSC: 57M25 PDFBibTeX XMLCite \textit{F. Jaeger}, Enseign. Math. (2) 35, No. 3--4, 323--361 (1989; Zbl 0705.57004)
Aitchison, Iain R. Jones polynomials and 3-manifolds. (English) Zbl 0685.57003 Geometry and Physics, Proc. Miniconf., Canberra/Aust. 1989, Proc. Cent. Math. Anal. Aust. Natl. Univ. 22, 18-49 (1989). Reviewer: D.McCullough MSC: 57M25 82B10 57N10 PDFBibTeX XML
Kauffman, L. H. Knots and physics. (English) Zbl 0749.57002 Note Mat. 9, Suppl., 17-32 (1989). Reviewer: M.Sakuma (Osaka) MSC: 57M25 81R50 82B23 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Note Mat. 9, 17--32 (1989; Zbl 0749.57002)
Kauffman, Louis H. Polynomial invariants in knot theory. (English) Zbl 0742.57006 Braid group, knot theory and statistical mechanics, Adv. Ser. Math. Phys. 9, 27-58 (1989). Reviewer: Y.Nakanishi (Kobe) MSC: 57M25 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Adv. Ser. Math. Phys. None, 27--58 (1989; Zbl 0742.57006)
Jaeger, François Tutte polynomials and link polynomials. (English) Zbl 0665.57006 Proc. Am. Math. Soc. 103, No. 2, 647-654 (1988). Reviewer: G.Burde MSC: 57M25 57M15 05C15 70G99 82B05 PDFBibTeX XMLCite \textit{F. Jaeger}, Proc. Am. Math. Soc. 103, No. 2, 647--654 (1988; Zbl 0665.57006) Full Text: DOI
Akutsu, Yasuhiro; Wadati, Miki Knots, links, braids and exactly solvable models in statistical mechanics. (English) Zbl 0651.57005 Commun. Math. Phys. 117, No. 2, 243-259 (1988). Reviewer: V.Turaev MSC: 57M25 82B23 PDFBibTeX XMLCite \textit{Y. Akutsu} and \textit{M. Wadati}, Commun. Math. Phys. 117, No. 2, 243--259 (1988; Zbl 0651.57005) Full Text: DOI
Kauffman, Louis H. State models and the Jones polynomial. (English) Zbl 0622.57004 Topology 26, 395-407 (1987). Reviewer: L.Neuwirth MSC: 57M25 46L10 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Topology 26, 395--407 (1987; Zbl 0622.57004) Full Text: DOI