# Homology concordance and an infinite rank subgroup

Tuesday, January 19, 2021 10:00 AM

Hugo Zhou (Georgia Institute of Technology)

Two knots are said to be homology concordant if they are smoothly concordant in a homology cobordism. One can define a quotient group using homology concordance similarly to the classical knot concordance group. I will explain how we construct an infinite rank subgroup of the above quotient group. The key ingredient is a computation of applying the filtered mapping cone formula to L-space knots.