Knot polynomials
Original papers:
- J.W.Alexander, Topological invariants of knots and links, Trans.Amer.Math.Soc. ${\bf 30}$ (2) (1928) 275-306;
- J.H.Conway, An Enumeration of Knots and Links, and Some of Their Algebraic Properties, In: John Leech (ed.), Computational Problems in Abstract Algebra, Proc. Conf. Oxford, 1967, Pergamon Press, Oxford-New York, 329-358, 1970;
- V.F.R.Jones, Index for subfactors. Invent.Math. ${\bf 72}$ (1983) 1;
A polynomial invariant for links via von Neumann algebras. Bull.AMS ${\bf 12}$ 103 (1985);
Hecke algebra representations of braid groups and link polynomials. Ann.Math. ${\bf 126}$ (1987) 335;
- L.Kauffman, State models and the Jones polynomial. Topology ${\bf 26}$ (1987) 395;
- H.R.Morton, Polynomials from braids, In `Braids', ed. Joan S. Birman and Anatoly Libgober, Contemporary Mathematics 78, Amer. Math. Soc. (1988), 375-385, pdf version.
- P.Freyd, D.Yetter, J.Hoste, W.B.R.Lickorish, K.Millet, A.Ocneanu, A new polynomial invariant of knots and links, Bull. AMS. ${\bf 12}$ (1985) 239;
- J.H.Przytycki and K.P.Traczyk, Invariants of Conway type, Kobe J. Math. ${\bf 4}$ (1987) 115-139;
- M.Khovanov, Duke Math.J. ${\bf 101}$ (2000) no.3, 359426, math/9908171;
Experimental Math. ${\bf 12}$ (2003) no.3, 365374, math/0201306;
J.Knot theory and its Ramifications ${\bf 14}$ (2005) no.1, 111-130, math/0302060;
Algebr. Geom. Topol. ${\bf 4}$ (2004) 1045-1081, math/0304375;
Int.J.Math. ${\bf 18}$ (2007) no.8, 869885, math/0510265;
Link homology and categorification, Proceedings of the ICM-2006, Madrid, vol.2, 989-999, math/0605339;
Categorifications from planar diagrammatics, arXiv:1008.5084;
- D.Bar-Natan, Algebraic and Geometric Topology ${\bf 2}$ (2002) 337-370, math/0201043;
Khovanov's homology for tangles and cobordisms, Geom.Topol. ${\bf 9}$ (2005) 1443-1499, math/0410495;
J.Knot Theory Ramifications ${\bf 16}$ (2007) no.3, 243255, math/0606318;
- M.Khovanov and L.Rozansky, Fund. Math. 199 (2008), no. 1, 191, math/0401268;
Geom.Topol. 12 (2008), no. 3, 13871425, math/0505056;
Virtual crossings, convolutions and a categorification of the SO(2N) Kauffman polynomial, math/0701333;
- S.Gukov, A.Schwarz and C.Vafa, Khovanov-Rozansky homology and topological strings, Letters in Mathematical Physics 74.1 (2005), 53-74, hep- th/0412243;
- E. Gorsky, S. Gukov and M. Stosic, Quadruply-graded colored homology of knots, arXiv:1304.3481;