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Geometry and Topology Seminar

Friday, January 15, 2021
3:00pm to 4:00pm
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Links all of whose branched cyclic covers are L-spaces
Hannah Turner, Department of Mathematics, UT, Austin,

Given an oriented link in the three-sphere and a fixed positive integer n, there is a unique 3-manifold called its branched cyclic cover of index n. It is not well understood when these manifolds are L-spaces - that is, when their Heegaard Floer homology is as simple as possible. In this talk I'll describe new examples of links whose cyclic branched covers are L-spaces for any index n. The proof uses a symmetry argument and a generalization of alternating links due to Scaduto-Stoffregen. This is joint work with Ahmad Issa.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu or visit https://sites.google.com/site/caltechgtseminar/home.