MIT Geometry and Topology Seminar

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.