#### Volume 10, issue 1 (2010)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Subscriptions Author Index To Appear Contacts ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
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 $U\left(n\right)$–equivariant cohomology ring of ${ℂℙ}^{n-1}$; our construction specializes to the Khovanov–Rozansky $s{l}_{n}$–homology. We are motivated by the “universal” rank two Frobenius extension studied by M Khovanov for $s{l}_{2}$–homology.