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Floer homology and covering spaces

Presented by: 
Ciprian Manolescu University of California, Los Angeles
Date: 
Friday 3rd February 2017 - 09:00 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
Co-author: Tye Lidman (North Carolina State)
 
I will discuss a Smith-type inequality for regular covering spaces in monopole Floer homology. Using the monopole Floer / Heegaard Floer correspondence, it follows that if a 3-manifold Y admits a p^n-sheeted regular cover that is a Z/p-L-space (for p prime), then Y is a Z/p-L-space. Further, we obtain constraints on surgeries on a knot being regular covers over other surgeries on the same knot, and over surgeries on other knots. This is joint work with Tye Lidman.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons