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# Joanna Nelson : An integral lift of cylindrical contact homology

I will discuss joint work with Hutchings which gives a rigorous construction of cylindrical contact homology via geometric methods. This talk will highlight our use of non-equivariant constructions, automatic transversality, and obstruction bundle gluing. Together these yield a nonequivariant homological contact invariant which is expected to be isomorphic to SH^+ under suitable assumptions. By making use of family Floer theory we obtain an S^1-equivariant theory defined over Z coefficients, which when tensored with Q recovers the classical cylindrical contact homology, now with the guarantee of well-definedness and invariance. This integral lift of contact homology also contains interesting torsion information.

**Category**: Geometry and Topology**Duration**: 01:34:49**Date**: November 15, 2016 at 5:10 PM**Views**: 115-
**Tags:**seminar, Triangle Topology Seminar

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