Topology Seminar: Exotic tight contact structures on R^n

Monday, September 13 at 2:05pm to 3:05pm

This is a past event.

Kaprielian Hall (KAP), 245
3620 South Vermont Avenue, Los Angeles, CA 90089


Joj Helfer, USC

Abstract:  
Contact homology is a Floer-type invariant of contact manifolds, based on counting holomorphic curves. It was used early on to produce exotic contact structures on spheres.

Contact homology is defined for closed manifolds, and though variants have also been introduced for a class of open manifolds, they depend on certain extra structure at infinity and hence fail to give an invariant of the contact manifold itself.

In joint work with François-Simon Fauteux-Chapleau, we introduce a version of contact homology for so-called convex open contact manifolds, and use this to show the existence of exotic ("tight") contact structures on R^{4m+1} for all m.

I will give general background on contact geometry and contact homology, and then describe our work.

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department
Mathematics
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