Seminars & Colloquia Calendar
Knot Floer homology and double branched covers
Andras Stipsicz (Hungarian Academy of Sciences, Alfred Renyi Institute of Mathematics)
Location: CoRE 101
Date & time: Tuesday, 09 April 2019 at 12:00PM - 1:00PM
Abstract: Knot Floer homology provides a great set of tools for studying questions about knots in the standard 3-sphere. Since the homology theory extends to knots in arbitrary 3-manifolds, the study of invariants of the double branched cover of the 3-sphere along a given knot provides further ways for deriving information about the knot concordance group, an infinitely generated Abelian group of central importance in low dimensional topology.
In the talk we plan to review this group, together with the construction of knot Floer homology, and describe the adaptation of the method of Hendricks-Manolescu to the present context to derive invariants through the double branched cover construction.