Pure Maths Colloquium: L-spaces and Heegaard Floer homology for 3-manifolds
21 November 2016 16:00 in CM221
Heegaard Floer homology is an oriented 3-manifold invariant, originally conceived as a tool to compute Seiberg-Witten invariants for 4-manifolds. An L-space is a closed, oriented 3-manifold with vanishing reduced Heegaard Floer homology. I will talk a little about the role of such gauge-theoretic invariants in the study of 3- and 4-dimensional geometry and topology, and about how an improved understanding of L-spaces can potentially broaden that role. I will then describe recent progress in the study of L-spaces, including some applications for complex surface singularities.
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