Volume 10, issue 1 (2010)

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Equivariant $\mathit{sl}(n)$–link homology

Daniel Krasner

Algebraic & Geometric Topology 10 (2010) 1–32
Abstract

For every positive integer n we construct a bigraded homology theory for links, such that the corresponding invariant of the unknot is closely related to the U(n)–equivariant cohomology ring of n1; our construction specializes to the Khovanov–Rozansky sln–homology. We are motivated by the “universal” rank two Frobenius extension studied by M Khovanov for sl2–homology.

Keywords
link homology, categorification, quantum link invariants
Mathematical Subject Classification 2000
Primary: 17B99
Secondary: 57M27
References
Publication
Received: 19 May 2008
Accepted: 30 September 2009
Published: 2 January 2010
Authors
Daniel Krasner
Department of Mathematics
Columbia University
2990 Broadway
New York NY 10027
USA
http://math.columbia.edu/~dkrasner/