An elementary construction of Khovanov-Rozansky type link homology
Kenji Aragane
TL;DR
This paper presents a simple method to construct homological invariants for links, where the Euler characteristic matches the quantum polynomial invariant, simplifying the understanding of link homology.
Contribution
It introduces an elementary construction of Khovanov-Rozansky type link homology, making the complex more accessible and easier to compute.
Findings
Euler characteristic equals quantum polynomial invariant
Simplified construction of link homology
Applicable to braid closure presentations
Abstract
In this article, we give an elementary construction of homological invariants of links presented by braid closures. The Euler characteristic of this complex is equal to quantum polynomial invariant of link.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis