Geodesic
Equivariant sl(n)-link homology
Krasner, Daniel1
1Department of Mathematics, Columbia University, 2990 Broadway, New York NY 10027, USA
Algebraic and Geometric Topology, Tome 10 (2010) no. 1, pp. 1-32
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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 ℂℙn−1; 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.

DOI : 10.2140/agt.2010.10.1
Keywords: link homology, categorification, quantum link invariants

Krasner, Daniel  1

1 Department of Mathematics, Columbia University, 2990 Broadway, New York NY 10027, USA 
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Krasner, Daniel. Equivariant sl(n)-link homology. Algebraic and Geometric Topology, Tome 10 (2010) no. 1, pp. 1-32. doi: 10.2140/agt.2010.10.1

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