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Title:
Introduction to Heegaard-Floer Homology and its Topological Applications
Speaker:
Abstract:
Heegaard Floer homology is a topological invariant constructed using methods from Lagrangian Floer homology. This invariant was designed to agree with and give a more computable version of Seiberg-Witten theory. My goal is to sketch the construction, give some sense of its gauge-theory motivation, and then describe topological applications of the invariant. Heegaard Floer homology was first defined in joint work with Zoltan Szabo, but this general talk will include the work of many other researchers who have contributed to this active subject.
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