An action of the Witt algebra on Khovanov-Rozansky homology
Alexis Gu\'erin, Felix Roz
TL;DR
This paper constructs a functorial action of the positive Witt algebra on Khovanov-Rozansky homology, revealing new algebraic structures in link homology theories.
Contribution
It introduces a novel action of the positive Witt algebra on Khovanov-Rozansky homology, expanding the algebraic framework of link invariants.
Findings
Witt algebra acts on Khovanov-Rozansky homology
The construction is proven to be functorial
Enhances understanding of algebraic structures in link homology
Abstract
We construct an action of the positive part of the Witt algebra on the Khovanov-Rozansky -link homology and prove that this construction is functorial.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models