Integral HOMFLY-PT and sl(n)-link homology
Daniel Krasner
TL;DR
This paper constructs an integral version of HOMFLY-PT and sl(n)-link homology using diagrammatic calculus for Soergel bimodules and Rasmussen's spectral sequence, advancing link homology theory.
Contribution
It introduces an integral framework for HOMFLY-PT and sl(n)-link homology, combining diagrammatic calculus and spectral sequences for the first time.
Findings
Successful construction of integral link homology theories.
Enhanced understanding of link invariants through integral approaches.
Potential applications in categorification and quantum topology.
Abstract
Using the diagrammatic calculus for Soergel bimodules, developed by B. Elias and M. Khovanov, as well as Rasmussen's spectral sequence, we construct an integral version of HOMFLY-PT and sl(n)-link homology.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra