2024/08/24 by Tomas Mejia-Gomez, Mejia-Gomez, Tomas
Computer Science · Mathematics · #Algebraic Topology (math.AT) #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.2409.02940
openalex publication_date 2024/08/24 · openalex created_date 2024/10/19 · openalex updated_date 2026/07/28
By means of Rasmussen's formulation of Khovanov-Rozansky homology originally given over ℚ in arXiv:math/0607544, we compare different flavors of \mathfraksl(n) link homology with the link invariants obtained by Kitchloo in arXiv:1910.07444 via twistings of Borel equivariant cohomology applied to the symmetry breaking spectra. In particular, we see how these geometric constructions based on Bott-Samelson varieties produce equivariant integral \mathfraksl(n) link homology with either specialized or universal potential.