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
Murakami, Hitoshi; Yokota, Yoshiyuki Volume conjecture for knots. (English) Zbl 1410.57001 SpringerBriefs in Mathematical Physics 30. Singapore: Springer (ISBN 978-981-13-1149-9/pbk; 978-981-13-1150-5/ebook). ix, 120 p. (2018). Reviewer: Joan Porti (Bellaterra) MSC: 57-02 57Q45 32Q45 PDFBibTeX XMLCite \textit{H. Murakami} and \textit{Y. Yokota}, Volume conjecture for knots. Singapore: Springer (2018; Zbl 1410.57001) Full Text: DOI
Manturov, Vassily Olegovich Knot theory. 2nd edition. (English) Zbl 1392.57001 Boca Raton, FL: CRC Press (ISBN 978-1-138-56124-3/hbk; 978-1-351-35913-9/ebook). xix, 559 p. (2018). Reviewer: Bruno Zimmermann (Trieste) MSC: 57-01 57-02 57M25 57M27 PDFBibTeX XMLCite \textit{V. O. Manturov}, Knot theory. 2nd edition. Boca Raton, FL: CRC Press (2018; Zbl 1392.57001) Full Text: Link
Stoimenow, Alexander Properties of closed 3-braids and braid representations of links. (English) Zbl 1433.57001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-68148-1/pbk; 978-3-319-68149-8/ebook). x, 110 p. (2017). Reviewer: Lee P. Neuwirth (Princeton) MSC: 57-02 57K10 57K14 20-02 20F36 20C08 20C15 PDFBibTeX XMLCite \textit{A. Stoimenow}, Properties of closed 3-braids and braid representations of links. Cham: Springer (2017; Zbl 1433.57001) Full Text: DOI
Shi, Yongtang; Dehmer, Matthias; Li, Xueliang; Gutman, Ivan Graph polynomials. (English) Zbl 1362.05003 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4987-5590-0/hbk; 978-1-4987-5591-7/ebook). xii, 249 p. (2017). Reviewer: Matthias Beck (San Francisco) MSC: 05-02 05-06 05C31 05C90 00B15 PDFBibTeX XMLCite \textit{Y. Shi} et al., Graph polynomials. Boca Raton, FL: CRC Press (2017; Zbl 1362.05003) Full Text: DOI
Lê, Thang T. Q.; Lescop, Christine; Lipshitz, Robert; Turner, Paul Lectures on quantum topology in dimension three. Lectures of the SMF school “Geometric and quantum topology in dimension 3”, CIRM, Luminy, France, June 2014. (English) Zbl 1360.57003 Panoramas et Synthèses 48. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-842-8/pbk). x, 174 p. (2016). Reviewer: Dieter Erle (Dortmund) MSC: 57-02 57M27 57-06 57M25 57N10 55N35 81T45 00B15 20F36 18G40 53C15 53D05 32Q60 20C30 PDFBibTeX XMLCite \textit{T. T. Q. Lê} et al., Lectures on quantum topology in dimension three. Lectures of the SMF school ``Geometric and quantum topology in dimension 3'', CIRM, Luminy, France, June 2014. Paris: Société Mathématique de France (SMF) (2016; Zbl 1360.57003)
Turaev, Vladimir G. Quantum invariants of knots and 3-manifolds. 3rd edition. (English) Zbl 1346.57002 de Gruyter Studies in Mathematics 18. Berlin: Walter de Gruyter (ISBN 978-3-11-044266-3/hbk; 978-3-11-043522-1/ebook). xii, 596 p. (2016). Reviewer: Kenneth A. Perko jun. (New York) MSC: 57-02 57N10 57M25 81R50 18D10 18D20 18D35 57N13 17B37 PDFBibTeX XMLCite \textit{V. G. Turaev}, Quantum invariants of knots and 3-manifolds. 3rd edition. Berlin: Walter de Gruyter (2016; Zbl 1346.57002) Full Text: DOI
Flapan, Erica Knots, molecules, and the universe. An introduction to topology. (English) Zbl 1343.57001 Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2535-7/hbk). xvii, 386 p. (2016). Reviewer: Claus Ernst (Bowling Green) MSC: 57-01 57M50 57M25 57M27 57M15 92C40 92E10 92D20 94C15 PDFBibTeX XMLCite \textit{E. Flapan}, Knots, molecules, and the universe. An introduction to topology. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1343.57001)
Dye, Heather A. An invitation to knot theory: virtual and classical. (English) Zbl 1360.57001 Boca Raton, FL: CRC Press (ISBN 978-1-4987-0164-8/hbk; 978-1-4987-0166-2/ebook). xxx, 256 p. (2016). Reviewer: Kenneth A. Perko Jr. (New York) MSC: 57-01 57M27 57Q45 57M25 PDFBibTeX XMLCite \textit{H. A. Dye}, An invitation to knot theory: virtual and classical. Boca Raton, FL: CRC Press (2016; Zbl 1360.57001)
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
Futer, David; Kalfagianni, Efstratia; Purcell, Jessica Guts of surfaces and the colored Jones polynomial. (English) Zbl 1270.57002 Lecture Notes in Mathematics 2069. Berlin: Springer (ISBN 978-3-642-33301-9/pbk; 978-3-642-33302-6/ebook). x, 170 p. (2013). Reviewer: Daniel Moskovich (Singapore) MSC: 57-02 57M25 57M27 PDFBibTeX XMLCite \textit{D. Futer} et al., Guts of surfaces and the colored Jones polynomial. Berlin: Springer (2013; Zbl 1270.57002) 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)
Mazorchuk, Volodymyr Lectures on algebraic categorification. (English) Zbl 1238.18001 The QGM Master Class Series. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-108-8/pbk). ix, 119 p. (2012). Reviewer: Wolfgang Rump (Stuttgart) MSC: 18-01 18D05 18E30 18A40 17B55 PDFBibTeX XMLCite \textit{V. Mazorchuk}, Lectures on algebraic categorification. Zürich: European Mathematical Society (EMS) (2012; Zbl 1238.18001) Full Text: DOI arXiv
Akveld, Meike [Gallin, Peter] Knots in mathematics. A play with laces, pictures and formulas. In cooperation with Peter Gallin. (Knoten in der Mathematik. Ein Spiel mit Schnüren, Bildern und Formeln.) (German) Zbl 1232.57005 Zürich: Orell Füssli Verlag (ISBN 978-3-280-04050-8/pbk). 72 p. (2011). Reviewer: Claus Ernst (Bowling Green) MSC: 57M25 00A09 00A35 PDFBibTeX XMLCite \textit{M. Akveld}, Knoten in der Mathematik. Ein Spiel mit Schnüren, Bildern und Formeln. Zürich: Orell Füssli Verlag (2011; Zbl 1232.57005)
Turaev, Vladimir G. Quantum invariants of knots and 3-manifolds. 2nd revised ed. (English) Zbl 1213.57002 de Gruyter Studies in Mathematics 18. Berlin: Walter de Gruyter (ISBN 978-3-11-022183-1/hbk; 978-3-11-022184-8/ebook). xii, 592 p. (2010). Reviewer: Daniel Moskovich (Toronto) MSC: 57-02 57N10 57M25 81R50 18D10 18D20 18D35 57N13 17B37 PDFBibTeX XMLCite \textit{V. G. Turaev}, Quantum invariants of knots and 3-manifolds. 2nd revised ed. Berlin: Walter de Gruyter (2010; Zbl 1213.57002)
Wang, Zhenghan Tolological quantum computation. (English) Zbl 1239.81005 CBMS Regional Conference Series in Mathematics 112. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4930-9/pbk). xiii, 115 p. (2010). Reviewer: Alexandr S. Holevo (Moskva) MSC: 81-02 81P68 57M27 18D10 PDFBibTeX XMLCite \textit{Z. Wang}, Tolological quantum computation. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1239.81005)
Murasugi, Kunio Knot theory and its applications. Transl. from the Japanese by Bohdan Kurpita. Reprint of the 1996 translated edition. (English) Zbl 1138.57001 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-0-8176-4718-6/pbk). xii, 342 p. (2008). Reviewer: Claus Ernst (Bowling Green) MSC: 57-01 57M25 57N10 PDFBibTeX XMLCite \textit{K. Murasugi}, Knot theory and its applications. Transl. from the Japanese by Bohdan Kurpita. Reprint of the 1996 translated edition. Basel: Birkhäuser (2008; Zbl 1138.57001)
Messer, Robert; Straffin, Philip Topology now! (English) Zbl 1095.57001 Classroom Resource Materials. Washington, DC: Mathematical Association of America (MAA) (ISBN 0-88385-744-8/hbk). xi, 240 p. (2006). Reviewer: Darryl McCullough (Norman) MSC: 57-01 54-01 55-01 55M20 57M25 57M99 PDFBibTeX XMLCite \textit{R. Messer} and \textit{P. Straffin}, Topology now!. Washington, DC: Mathematical Association of America (MAA) (2006; Zbl 1095.57001)
Stahl, Saul Introduction to topology and geometry. (English) Zbl 1063.57001 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs, and Tracts. Hoboken, NJ: Wiley-Interscience (ISBN 0-471-66260-7). xii, 464 p. (2005). Reviewer: Andrei Vesnin (Novosibirsk) MSC: 57-01 55-01 53-01 PDFBibTeX XMLCite \textit{S. Stahl}, Introduction to topology and geometry. Hoboken, NJ: Wiley-Interscience (2005; Zbl 1063.57001)
Cromwell, Peter R. Knots and links. (English) Zbl 1066.57007 Cambridge: Cambridge University Press (ISBN 0-521-54831-4/pbk; 0-521-83947-5/hbk). xvii, 328 . (2004). Reviewer: Cynthia L. Curtis (Ewing) MSC: 57M25 57-01 PDFBibTeX XMLCite \textit{P. R. Cromwell}, Knots and links. Cambridge: Cambridge University Press (2004; Zbl 1066.57007)
Adams, Colin C. The knot book. An elementary introduction to the mathematical theory of knots. Revised reprint of the 1994 original. (English) Zbl 1065.57003 Providence, RI: American Mathematical Society (ISBN 0-8218-3678-1/pbk). xiii, 307 p. (2004). Reviewer: Cynthia L. Curtis (Ewing) MSC: 57M25 57-01 PDFBibTeX XMLCite \textit{C. C. Adams}, The knot book. An elementary introduction to the mathematical theory of knots. Revised reprint of the 1994 original. Providence, RI: American Mathematical Society (2004; Zbl 1065.57003)
Jacobsson, Magnus Khovanov homology and link cobordisms. (English) Zbl 1515.57002 Uppsala Dissertations in Mathematics. Uppsala: Uppsala Univ., Department of Mathematics (Diss.) (ISBN 978-91-506-1717-7). 59 p. (2003). MSC: 57-02 57K18 57K10 PDFBibTeX XMLCite \textit{M. Jacobsson}, Khovanov homology and link cobordisms. Uppsala: Uppsala Univ., Department of Mathematics (Diss.) (2003; Zbl 1515.57002)
Hu, Sen Lectures notes on Chern-Simons-Witten theory. (English) Zbl 1038.58029 Singapore: World Scientific (ISBN 981-02-3909-2). 200 p. (2001). Reviewer: Sebastian Goette (Regensburg) MSC: 58J28 53D50 58-02 81-02 81T45 58J90 57M27 57R56 PDFBibTeX XMLCite \textit{S. Hu}, Lectures notes on Chern-Simons-Witten theory. Singapore: World Scientific (2001; Zbl 1038.58029)
Sossinsky, A. Mathematics of knots. Origins of a mathematical theory. (Mathematik der Knoten. Wie eine Theorie entsteht. Aus dem Französischen von Hainer Kober.) (German) Zbl 1025.57501 Reinbek: Rowohlt. 160 S. (2000). MSC: 57M25 01A55 01A60 PDFBibTeX XMLCite \textit{A. Sossinsky}, Mathematik der Knoten. Wie eine Theorie entsteht. Aus dem Französischen von Hainer Kober. Reinbek: Rowohlt (2000; Zbl 1025.57501)
Sossinsky, A. Nœuds. Genèse d’une théorie mathématique. (Knots. Origins of a mathematical theory.) (French) Zbl 0954.57002 Paris: Éditions du Seuil. 152 p. (1999). Reviewer: Bruno Zimmermann (Trieste) MSC: 57K10 57-01 01A60 01A55 PDFBibTeX XMLCite \textit{A. Sossinsky}, Knots. Origins of a mathematical theory. Paris: Éditions du Seuil (1999; Zbl 0954.57002)
Prasolov, V. V.; Sossinsky, A. B. Knots, links, braids and 3-manifolds. An introduction to the new invariants in low-dimensional topology. Transl. by A. B. Sossinsky from an orig. Russian manuscript. (English) Zbl 0864.57002 Translations of Mathematical Monographs. 154. Providence, RI: American Mathematical Society (AMS). viii, 239 p. £35.00/pbk, $ 49.00/pbk (1997). Reviewer: U.Kaiser (Siegen) MSC: 57-02 57M25 57N10 57Mxx PDFBibTeX XMLCite \textit{V. V. Prasolov} and \textit{A. B. Sossinsky}, Knots, links, braids and 3-manifolds. An introduction to the new invariants in low-dimensional topology. Transl. by A. B. Sossinsky from an orig. Russian manuscript. Providence, RI: AMS, American Mathematical Society (1997; Zbl 0864.57002)
Dasbach, Oliver T. On subspaces of the space of Vassiliev invariants. (English) Zbl 0891.57007 Berichte aus der Mathematik. Aachen: Shaker. Düsseldorf: Univ. Düsseldorf, Mathematisch-Naturwissenschaftliche Fakultät, 89 p. (1997). Reviewer: H.Murakami (Tokyo) MSC: 57M25 PDFBibTeX XMLCite \textit{O. T. Dasbach}, On subspaces of the space of Vassiliev invariants. Aachen: Shaker; Düsseldorf: Univ. Düsseldorf, Ma\-the\-ma\-tisch-Naturwissenschaftliche Fakultät (1997; Zbl 0891.57007)
Kassel, Christian; Rosso, Marc; Turaev, Vladimir Quantum groups and knot invariants. (English) Zbl 0878.17013 Panoramas et Synthèses. 5. Paris: Société Mathématique de France. vi, 115 p. (1997). Reviewer: E.J.Taft (New Brunswick) MSC: 17B37 57M25 17-01 57-01 18D10 PDFBibTeX XMLCite \textit{C. Kassel} et al., Quantum groups and knot invariants. Paris: Société Mathématique de France (1997; Zbl 0878.17013)
Murasugi, Kunio Knot theory and its applications. Transl. from the Japanese by Bohdan Kurpita. (English) Zbl 0864.57001 Basel: Birkhäuser. 341 p. (1996). Reviewer: Bruno Zimmermann (Trieste) MSC: 57-01 57M25 57N10 92C40 05C15 PDFBibTeX XMLCite \textit{K. Murasugi}, Knot theory and its applications. Transl. from the Japanese by Bohdan Kurpita. Basel: Birkhäuser (1996; Zbl 0864.57001)
Turner, J. C. (ed.); van de Griend, P. (ed.) History and science of knots. (English) Zbl 0867.57001 Series on Knots and Everything. 11. Singapore: World Scientific. xii, 448 p. (1996). Reviewer: B.Zimmermann (Trieste) MSC: 57-03 57M25 57-02 01A07 01A99 PDFBibTeX XMLCite \textit{J. C. Turner} (ed.) and \textit{P. van de Griend} (ed.), History and science of knots. Singapore: World Scientific (1996; Zbl 0867.57001)
Chari, Vyjayanthi; Pressley, Andrew A guide to quantum groups. (English) Zbl 0839.17010 Cambridge: Cambridge University Press. xv, 651 p. (1995). Reviewer: J.S.Joel (Kelly) MSC: 17B37 17-02 16W30 81R50 57M25 37J35 37K10 PDFBibTeX XMLCite \textit{V. Chari} and \textit{A. Pressley}, A guide to quantum groups. Cambridge: Cambridge University Press (1995; Zbl 0839.17010)
Adams, Colin C. The knot book: an elementary introduction to the mathematical theory of knots. (English) Zbl 0840.57001 New York, NY: Freeman and Co. xiii, 306 p. (1994). Reviewer: H.M.Unsöld (Berlin) MSC: 57-01 57M25 PDFBibTeX XMLCite \textit{C. C. Adams}, The knot book: an elementary introduction to the mathematical theory of knots. New York, NY: Freeman and Co. (1994; Zbl 0840.57001)
Gilbert, N. D.; Porter, T. Knots and surfaces. (English) Zbl 0828.57001 Oxford Science Publications. Oxford: Oxford Univ. Press. xi, 268 p. £29.50 (1994). Reviewer: H.R.Morton (Liverpool) MSC: 57-01 57M25 57N05 55M05 PDFBibTeX XMLCite \textit{N. D. Gilbert} and \textit{T. Porter}, Knots and surfaces. Oxford: Oxford Univ. Press (1994; Zbl 0828.57001)
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)
Kauffman, Louis H.; Lins, Sóstenes L. Temperley-Lieb recoupling theory and invariants of 3-manifolds. (English) Zbl 0821.57003 Annals of Mathematics Studies. 134. Princeton, NJ: Princeton University Press. viii, 296 p. (1994). Reviewer: J.Huebschmann (Bonn) MSC: 57-02 17B37 57N10 57M25 81R50 PDFBibTeX XMLCite \textit{L. H. Kauffman} and \textit{S. L. Lins}, Temperley-Lieb recoupling theory and invariants of 3-manifolds. Princeton, NJ: Princeton University Press (1994; Zbl 0821.57003) Full Text: DOI
Gilbert, N. D.; Porter, T. Knots and surfaces. (English) Zbl 0822.57001 Oxford Science Publications. Oxford: Oxford Univ. Press. xi, 268 p. £29.50 (1994). Reviewer: G.Burde (Frankfurt / Main) MSC: 57-01 57M25 57N05 57M05 PDFBibTeX XML
Guadagnini, Enore The link invariants of the Chern-Simons field theory. New developments in topological quantum field theory. (English) Zbl 0812.57002 De Gruyter Expositions in Mathematics. 10. Berlin: Walter de Gruyter. xiv, 312 p. (1993). Reviewer: S.V.Matveev (Chelyabinsk) MSC: 57-02 57N10 57M25 81T10 81Q20 81-02 PDFBibTeX XMLCite \textit{E. Guadagnini}, The link invariants of the Chern-Simons field theory. New developments in topological quantum field theory. Berlin: Walter de Gruyter (1993; Zbl 0812.57002)
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)
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)
Goodman, Frederick M.; De la Harpe, Pierre; Jones, Vaughan F. R. Coxeter graphs and towers of algebras. (English) Zbl 0698.46050 Mathematical Sciences Research Institute Publications, 14. New York etc.: Springer-Verlag. vi, 288 p. DM 68.00 (1989). Reviewer: C.-h.Chu MSC: 46L10 05C50 46L35 46-02 16Kxx 81T05 PDFBibTeX XMLCite \textit{F. M. Goodman} et al., Coxeter graphs and towers of algebras. New York etc.: Springer-Verlag (1989; Zbl 0698.46050)
Kauffman, Louis H. On knots. (English) Zbl 0627.57002 Annals of Mathematics Studies, No. 115. Princeton, New Jersey: Princeton University Press. XV, 480 p.; Cloth: $ 50.00; Paper: $ 18.95 (1987). Reviewer: L.Neuwirth MSC: 57-02 57M25 PDFBibTeX XML Full Text: DOI
Hacon, Derek Introduction to the theory of knots in \({\mathbb{R}}^ 3\). (Introdução à teoria dos nós em \({\mathbb{R}}^ 3)\). (Portuguese) Zbl 0594.57001 15\(^\circ\) Colóquio Brasileiro de Matemática, Poços de Caldas, Brasil 1985. Rio de Janeiro: Instituto de Mathemática Pura e Aplicada (IMPA). II, 123 p. (1985). Reviewer: J.A.Hillman MSC: 57-01 57M25 PDFBibTeX XML