Seminars & Colloquia Calendar
Involutive knot Floer homology via bordered Floer theory
Sungkyung Kang (IBS Center for Geometry and Physics)
Date & time: Tuesday, 26 April 2022 at 10:00AM - 11:00AM
Involutive knot Floer homology, which is knot Floer homology endowed with its intrinsic Z/4-symmetry, is a poweful knot invariant which has been used to solve several interesting questions regarding knots and concordances, although currently the only way to compute the symmetry is via the fact that it squares to the Sarkar involution. In this talk, we establish a connection between involutive knot Floer homology of knots and involutive bordered Floer homology of knot complements, and provide an explicit algebraic formula which computes the hat-flavored involutive knot Floer homology from involutive bordered Floer homology of knot complements. For certain patterns, this can give rise to a certain version of involutive satellite formula which is completely algebraic.