Equivariant sl(n)-link homology

2008/04/23 by Daniel Krasner, Krasner, Daniel · 1 citation
Computer Science · Mathematics · #17B99 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.0804.3751

openalex publication_date 2008/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \mathbbCP^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 \citeKh3 for sl₂-homology.

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• Operator lift of Reshetikhin-Turaev formalism to Khovanov-Rozansky TQFTs

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