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# Jonathan Hanselman : Bordered Heegaard Floer homology and graph manifolds

Heegaard Floer homology is a powerful 3-manifold invariant developed by Oszvath and Szabo. Bordered Heegaard Floer homology is an extension of the Heegaard Floer theory to 3-manifolds with boundary, which lets us compute the "hat" version of Heegaard Floer for complicated manifolds by cutting them into simpler pieces. Graph manifolds are an important class of 3-manifolds which decompose in a particularly nice way; all the components of their JSJ decomposition are Seifert fibered. The majority of the talk will be devoted to introducing the terms above, starting with a brief overview of Heegaard Floer homology. At the end we see how to use bordered Heegaard Floer to compute HF-hat for any graph manifold.

**Category**: Geometry and Topology**Duration**: 01:14:49**Date**: September 3, 2013 at 4:25 PM**Views**: 119-
**Tags:**seminar, Geometry/topology Seminar

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