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Geometry and Topology Seminar

Friday, September 29, 2023
4:00pm to 5:00pm
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Linde Hall 187
Lee filtration structure of torus links, adjunction inequality, and applications
Qiuyu Ren, Department of Mathematics, UC Berkeley,

We state our recent result determining the quantum filtration structure of the Lee homology of torus links. This implies a relative adjunction-type 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

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