Triply Graded Link Homology for Coxeter Braids on 4 Strands
Joshua P. Turner
TL;DR
This paper computes the triply graded Khovanov-Rozansky homology specifically for Coxeter braids on four strands, advancing the understanding of link homologies in algebraic topology.
Contribution
It provides explicit calculations of triply graded homology for a new class of braids, Coxeter braids on four strands, which was previously unexplored.
Findings
Explicit homology computations for Coxeter braids on 4 strands
Enhanced understanding of link homology structures
Potential applications to knot theory and algebraic topology
Abstract
We compute the triply graded Khovanov-Rozansky homology for Coxeter braids on 4 strands.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics