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# Steven Sivek : Sutured embedded contact homology is an invariant

Embedded contact homology (ECH) is an invariant of a closed contact 3-manifold, but proving its invariance is not so straightforward: the only known proof (due to Taubes) is to show that it is isomorphic to monopole Floer homology, which only depends on the underlying manifold. Colin, Ghiggini, Honda, and Hutchings defined a version of ECH for contact 3-manifolds with boundary, which are naturally sutured manifolds, and conjectured that this is also an invariant of the underlying sutured manifold. In this talk I will show that sutured ECH is indeed an invariant and discuss exactly what kind of invariant it is. This is joint work with Cagatay Kutluhan.

**Category**: Geometry and Topology**Duration**: 01:14:49**Date**: December 3, 2013 at 4:25 PM**Views**: 118-
**Tags:**seminar, Geometry/topology Seminar

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