Algebraic and Geometric Topology 4 (2004), paper no. 45, pages 1045-1081.

sl(3) link homology

Mikhail Khovanov

Abstract. We define a bigraded homology theory whose Euler characteristic is the quantum sl(3) link invariant.

Keywords. Knot, link, homology, quantum invariant, sl(3)

AMS subject classification. Primary: 81R50, 57M27. Secondary: 18G60.

DOI: 10.2140/agt.2004.4.1045

E-print: arXiv:math.QA/0304375

Submitted: 26 May 2003. (Revised: 7 October 2004.) Accepted: 13 October 2004. Published: 6 November 2004.

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Mikhail Khovanov
Department of Mathematics, University of California
Davis CA 95616, USA
Email: mikhail@math.ucdavis.edu

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