Action of the cork twist on Floer homology

Series: 
Geometry Topology Seminar
Tuesday, April 26, 2011 - 10:30
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
UT Austin
Abstract: We utilize the Ozsvath-Szabo contact invariant to detect the action of involutions on certain homology spheres that are surgeries on symmetric links, generalizing a previous result of Akbulut and Durusoy. Potentially this may be useful to detect different smooth structures on $4$-manifolds by cork twisting operation. This is a joint work with S. Akbulut.