Floer homology and covering spaces

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• Ciprian Manolescu (University of California, Los Angeles)
• Friday 03 February 2017, 09:00-10:00
• Seminar Room 1, Newton Institute.

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HTLW02 - 3-manifold workshop

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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