We define a bigraded homology theory whose Euler characteristic is the quantum sl(3) link invariant.
Khovanov, Mikhail  1
@article{10_2140_agt_2004_4_1045,
author = {Khovanov, Mikhail},
title = {sl(3) link homology},
journal = {Algebraic and Geometric Topology},
pages = {1045--1081},
year = {2004},
volume = {4},
number = {2},
doi = {10.2140/agt.2004.4.1045},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2004.4.1045/}
}
Khovanov, Mikhail. sl(3) link homology. Algebraic and Geometric Topology, Tome 4 (2004) no. 2, pp. 1045-1081. doi: 10.2140/agt.2004.4.1045
[1] , , Lectures on tensor categories and modular functors, University Lecture Series 21, American Mathematical Society (2001)
[2] , , , , , , A new polynomial invariant of knots and links, Bull. Amer. Math. Soc. $($N.S.$)$ 12 (1985) 239
[3] , An invariant of link cobordisms from Khovanov homology, Algebr. Geom. Topol. 4 (2004) 1211
[4] , Categorifications of the colored Jones polynomial, J. Knot Theory Ramifications 14 (2005) 111
[5] , An invariant of tangle cobordisms, Trans. Amer. Math. Soc. 358 (2006) 315
[6] , A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359
[7] , Graphical calculus of quantum Lie algebra representations, PhD thesis, University of California, Davis (2003)
[8] , Spiders for rank 2 Lie algebras, Comm. Math. Phys. 180 (1996) 109
[9] , Integrality and symmetry of quantum link invariants, Duke Math. J. 102 (2000) 273
[10] , , , Homfly polynomial via an invariant of colored plane graphs, Enseign. Math. $(2)$ 44 (1998) 325
[11] , , Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58
[12] , Floer homology and knot complements
[13] , , Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys. 127 (1990) 1
Cité par Sources :