MIT Geometry and Topology Seminar
Monday, September 18, 2023 at 3:00pm to 4:00pm
Building 2, 2-449
Speaker: Qiuyu Ren
Title: Lee filtration structure of torus links, adjunction inequality, and applications
Abstract: We state our recent result determining the quantum filtration structure of the Lee homology of torus links. This implies a relative adjunctiontype inequality for s-invariants of two links related by a link cobordism in kCP2, originally conjectured by Manolescu-Marengon-Sarkar-Willis. As two applications of this inequality, we show the existence of knots with arbitrarily large CP2 genus, and we sketch a potential approach to produce and detect exotic kCP2’s.