Independence complexes of circle graphs
Geometric Topology
2024-12-03 v1
Abstract
Independence complexes of circle graphs are purely combinatorial objects. However, when constructed from some diagram of a link , they reveal topological properties of , more specifically, of its Khovanov homology. We analyze the homotopy type of independence complexes of circle graphs, with a focus on those arising when the graph is bipartite. Moreover, we compute (real) extreme Khovanov homology of a -strand pretzel knot using chord diagrams and independence complexes.
Keywords
Cite
@article{arxiv.2412.01125,
title = {Independence complexes of circle graphs},
author = {Rhea Palak Bakshi and Ali Guo and Dionne Ibarra and Gabriel Montoya-Vega and Sujoy Mukherjee and Marithania Silvero and Jonathan Spreer},
journal= {arXiv preprint arXiv:2412.01125},
year = {2024}
}
Comments
11 pages, 7 figures