Equivariant sl(n)-link homology

Details Equivariant sl(n)-link homology Equivariant sl(n)-link homology

2008-04-23

arxiv.org/abs/0804.3751v2

Mathematics

Quantum Algebra

28 pages, 23 figures

Scientific paper

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 $\mathbb{CP}^{n-1}$; our construction specializes to the Khovanov-Rozansky $sl_n$-homology. We are motivated by the "universal" rank two Frobenius extension studied by M. Khovanov in \cite{Kh3} for $sl_2$-homology.

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