论文信息 - sl(3) link homology - 字舞流文

sl(3) link homology

Author(s): Khovanov, Mikhail | Abstract: We define a bigraded homology theory whose Euler characteristic is the quantum sl(3) link invariant.

Mikhail Khovanov

[1] T. Ohtsuki,et al. HOMFLY polynomial via an invariant of colored planar graphs , 1998 .

[2] Greg Kuperberg. Spiders for rank 2 Lie algebras , 1996 .

[3] M. Khovanov. Categorifications of the colored Jones polynomial , 2003, math/0302060.

[4] A. Kirillov,et al. Lectures on tensor categories and modular functors , 2000 .

[5] LÊ THANGT.Q.. INTEGRALITY AND SYMMETRY OF QUANTUM LINK INVARIANTS , 1999 .

[6] Zoltan Szabo,et al. Holomorphic disks and knot invariants , 2002 .

[7] Magnus Jacobsson. An invariant of link cobordisms from Khovanov's homology theory , 2002 .

[8] Kenneth C. Millett,et al. A new polynomial invariant of knots and links , 1985 .

[9] Floer homology and knot complements , 2003, math/0306378.

[10] V. Turaev,et al. Ribbon graphs and their invaraints derived from quantum groups , 1990 .

[11] An invariant of link cobordisms from Khovanov homology. , 2002, math/0206303.

[12] M. Khovanov. An invariant of tangle cobordisms , 2002, math/0207264.

[13] P. Lochak. LECTURES ON TENSOR CATEGORIES AND MODULAR FUNCTORS (University Lecture Series 21) By BOJKO BAKALOV and ALEXANDER KIRILLOV, JR: 221 pp., US$29.00, ISBN 0-8218-2686-7 (American Mathematical Society, Providence, RI, 2001). , 2002 .