Topology Seminar Series: Liam Watson, UCLA

Liam Watson, UCLA

Title: Heegaard Floer Homology Solid Tori
Speaker: Liam Watson, UCLA
Date: Wednesday, May 02, 2013
Time: 11:30am – 12:30pm
Place: Lecture Hall 102, Simons Center

 

 

 
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Abstract: The Alexander trick shows that any Dehn twist along the meridian of a torus extends to a homeomorphism of the solid torus. In fact, as a consequence of Johannson’s finiteness theorem, this property characterizes
the solid torus among orientable, irreducible 3-manifolds with torus boundary. We’ll show that this characterization no longer holds at the level of Heegaard Floer homology. This observation is about bordered Heegaard Floer homology, and in particular, appeals to bimodules in bordered theory associated with cable spaces.