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 PDFBibTeX XMLCite \textit{L. H. Kauffman}, J. Knot Theory Ramifications 32, No. 8, Article ID 2340011, 50 p. (2023; Zbl 1523.57007) Full Text: DOI arXiv
Kauffman, Louis H.; Ogasa, Eiji Quantum invariants of links and 3-manifolds with boundary defined via virtual links. (English) Zbl 07729182 J. Knot Theory Ramifications 32, No. 7, Article ID 2350042, 27 p. (2023). MSC: 57K10 57K16 57K31 PDFBibTeX XMLCite \textit{L. H. Kauffman} and \textit{E. Ogasa}, J. Knot Theory Ramifications 32, No. 7, Article ID 2350042, 27 p. (2023; Zbl 07729182) Full Text: DOI arXiv
Baldridge, Scott; Kauffman, Louis H.; McCarty, Ben A state sum for the total face color polynomial. arXiv:2308.02732 Preprint, arXiv:2308.02732 [math.GT] (2023). MSC: 57R56 05C10 05C15 05C31 05C70 57M15 57K16 BibTeX Cite \textit{S. Baldridge} et al., ``A state sum for the total face color polynomial'', Preprint, arXiv:2308.02732 [math.GT] (2023) Full Text: arXiv OA License
Moltmaker, Wout; Kauffman, Louis H. On Vassiliev Invariants of Virtual Knots. arXiv:2208.10467 Preprint, arXiv:2208.10467 [math.GT] (2022). MSC: 57K10 57K12 57K16 BibTeX Cite \textit{W. Moltmaker} and \textit{L. H. Kauffman}, ``On Vassiliev Invariants of Virtual Knots'', Preprint, arXiv:2208.10467 [math.GT] (2022) Full Text: arXiv OA License
Kauffman, Louis H. Knot logic and topological quantum computing with Majorana fermions. (English) Zbl 1355.81059 Chubb, Jennifer (ed.) et al., Logic and algebraic structures in quantum computing. Based on a special session held at the 2010 North American Annual Meeting of the Association for Symbolic Logic, Washington, DC, USA, March 17–20, 2010. Cambridge: Cambridge University Press (ISBN 978-1-107-03339-9/hbk; 978-1-139-51968-7/ebook). Lecture Notes in Logic 45, 223-335 (2016). MSC: 81P68 81P05 00A79 57M25 81V70 16T25 81P40 81T45 20F36 68Q12 11B39 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Lect. Notes Log. 45, 223--335 (2016; Zbl 1355.81059) Full Text: DOI arXiv
Bilson-Thompson, Sundance; Hackett, Jonathan; Kauffman, Louis; Wan, Yidun Emergent braided matter of quantum geometry. (English) Zbl 1242.83034 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 014, 43 p. (2012). MSC: 83C45 83C27 81T99 81V25 20F36 18D35 20K45 81P68 PDFBibTeX XMLCite \textit{S. Bilson-Thompson} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 014, 43 p. (2012; Zbl 1242.83034) Full Text: DOI arXiv
Kauffman, Louis H.; Lomonaco, Samuel J. jun. Topological quantum information theory. (English) Zbl 1216.81039 Lomonaco, Samuel J. jun. (ed.), Quantum information science and its contributions to mathematics. American Mathematical Society short course, January 3–4, 2009, Washington, DC, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4828-9/hbk). Proceedings of Symposia in Applied Mathematics 68, 103-176 (2010). Reviewer: Eugene Kryachko (Liège) MSC: 81P45 57M25 18D10 54E05 54E70 54F05 68Q12 81P10 81P13 81P68 PDFBibTeX XMLCite \textit{L. H. Kauffman} and \textit{S. J. Lomonaco jun.}, Proc. Symp. Appl. Math. 68, 103--176 (2010; Zbl 1216.81039)
Kauffman, Louis H. Knots and physics. (English) Zbl 1179.57020 Buck, Dorothy (ed.) et al., Applications of knot theory. American Mathematical Society short course, San Diego, CA, USA, January 4–5, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4466-3/hbk). Proceedings of Symposia in Applied Mathematics 66, 81-120 (2009). Reviewer: Claus Ernst (Bowling Green) MSC: 57M27 57M25 81T45 57R56 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Proc. Symp. Appl. Math. 66, 81--120 (2009; Zbl 1179.57020)
Kauffman, Louis H.; Lomonaco, Samuel J. jun. \(q\)-deformed spin networks, knot polynomials and anyonic topological quantum computation. (English) Zbl 1133.57007 J. Knot Theory Ramifications 16, No. 3, 267-332 (2007). Reviewer: Jianyuan Kathy Zhong (Sacramento) MSC: 57M27 57R56 PDFBibTeX XMLCite \textit{L. H. Kauffman} and \textit{S. J. Lomonaco jun.}, J. Knot Theory Ramifications 16, No. 3, 267--332 (2007; Zbl 1133.57007) Full Text: DOI arXiv
Kauffman, Louis H. Knots. (English) Zbl 1137.57302 Boi, Luciano (ed.), Geometries of nature, living systems and human cognition. New interactions of mathematics with natural sciences and humanities. Hackensack, NJ: World Scientific (ISBN 981-256-474-8). 131-202 (2005). MSC: 57M25 57-02 81-02 57R56 PDFBibTeX XMLCite \textit{L. H. Kauffman}, in: Geometries of nature, living systems and human cognition. New interactions of mathematics with natural sciences and humanities. Hackensack, NJ: World Scientific. 131--202 (2005; Zbl 1137.57302)
Carter, J. Scott; Kauffman, Louis H.; Saito, Masahico Structures and diagrammatics of four dimensional topological lattice field theories. (English) Zbl 0938.57014 Adv. Math. 146, No. 1, 39-100 (1999). Reviewer: Terry Lawson (New Orleans) MSC: 57N13 81T45 57Q15 PDFBibTeX XMLCite \textit{J. S. Carter} et al., Adv. Math. 146, No. 1, 39--100 (1999; Zbl 0938.57014) Full Text: DOI arXiv
Kauffman, Louis H. Noncommutativity and discrete physics. (English) Zbl 1040.81529 Physica D 120, No. 1-2, 125-138 (1998). MSC: 81R60 81T75 78A99 81T45 81R50 PDFBibTeX XMLCite \textit{L. H. Kauffman}, Physica D 120, No. 1--2, 125--138 (1998; Zbl 1040.81529) Full Text: DOI arXiv
Kauffman, Louis H. Knots and diagrams. (English) Zbl 0932.57008 Suzuki, S. (ed.), Lectures at Knots ’96. Proceedings of the international conference on knot theory, Tokyo, Japan, July 22–31, 1996. Singapore: World Scientific. Ser. Knots Everything. 15, 123-194 (1997). MSC: 57M25 57-06 57M15 57N10 PDFBibTeX XMLCite \textit{L. H. Kauffman}, in: Lectures at Knots '96. Proceedings of the international conference on knot theory, Tokyo, Japan, July 22--31, 1996. Singapore: World Scientific. 123--194 (1997; Zbl 0932.57008)
Francis, George K.; Kauffman, Louis H. Air on the Dirac strings. (English) Zbl 0841.57011 Abikoff, William (ed.) et al., The mathematical legacy of Wilhelm Magnus. Groups, geometry and special functions. Conference on the legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic Univ. Brooklyn, NY, USA. Providence, RI: American Mathematical Society. Contemp. Math. 169, 261-276 (1994). MSC: 57M25 81T30 57S05 PDFBibTeX XMLCite \textit{G. K. Francis} and \textit{L. H. Kauffman}, Contemp. Math. 169, 261--276 (1994; Zbl 0841.57011)
Kauffman, Louis H. Introduction to quantum topology. (English) Zbl 0840.57002 Kauffman, Louis H. (ed.) et al., Quantum topology. Based on an AMS special session on topological quantum field theory, held in Dayton, OH, USA on October 30-November 1, 1992 at the general meeting of the American Mathematical Society. Singapore: World Scientific. Ser. Knots Everything. 3, 1-77 (1993). Reviewer: V.Abramov (Tartu) MSC: 57-02 81R50 82B23 57M25 PDFBibTeX XMLCite \textit{L. H. Kauffman}, in: Quantum topology. Based on an AMS special session on topological quantum field theory, held in Dayton, OH, USA on October 30-November 1, 1992 at the general meeting of the American Mathematical Society. Singapore: World Scientific. 1--77 (1993; Zbl 0840.57002)
Kauffman, Louis H. (ed.); Baadhio, Randy A. (ed.) Quantum topology. Based on an AMS special session on topological quantum field theory, held in Dayton, OH, USA on October 30-November 1, 1992 at the general meeting of the American Mathematical Society. (English) Zbl 0818.00013 Series on Knots and Everything. 3. Singapore: World Scientific. xii, 375 p. £47.00 (1993). MSC: 00B25 57-06 81T70 PDFBibTeX XMLCite \textit{L. H. Kauffman} (ed.) and \textit{R. A. Baadhio} (ed.), Quantum topology. Based on an AMS special session on topological quantum field theory, held in Dayton, OH, USA on October 30-November 1, 1992 at the general meeting of the American Mathematical Society. Singapore: World Scientific (1993; Zbl 0818.00013)
Baadhio, Randy A.; Kauffman, Louis H. Link manifolds and global gravitational anomalies. (English) Zbl 0802.57011 Rev. Math. Phys. 5, No. 2, 331-343 (1993). Reviewer: D.Erle (Dortmund) MSC: 57R55 57S15 81T50 57M25 PDFBibTeX XMLCite \textit{R. A. Baadhio} and \textit{L. H. Kauffman}, Rev. Math. Phys. 5, No. 2, 331--343 (1993; Zbl 0802.57011) Full Text: DOI