Topology Seminar

Abstract: In this talk we present a new approach to extreme Khovanov homology in terms of a specific graph constructed from the link diagram. With this point of view, we review a well-known conjecture related to the existence of torsion in extreme Khovanov homology. We discuss in more detail the more general conjecture that  Independence simplicial complex of (bipartite) circle graph is a wedge of spheres. We show that conjecture holds in many special cases, e.g. for trees, permutation graphs or graphs which are wedge sums of polygons.