Geometry and Topology Seminar: "Non-orientable link cobordisms and torsion order in Floer homologies"

Abstract: In a recent paper, Juhasz, Miller and Zemke proved an inequality involving the number of local maxima and the genus appearing in an oriented knot cobordism using a version of knot Floer homology. In this talk I will be discussing some similar inequalities for non-orientable knot cobordisms using the torsion orders of unoriented versions of knot Floer homology and instanton Floer homology. This is a joint work with Marco Marengon.

Host: Xiang Tang