Floer homology and covering spaces

Tye Lidman; Ciprian Manolescu

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arXiv · 1603.00584

Floer homology and covering spaces

Tye Lidman·Ciprian Manolescu

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Abstract

We prove a Smith-type inequality for regular covering spaces in monopole Floer homology. Using the monopole Floer / Heegaard Floer correspondence, we deduce that if a 3-manifold Y admits a p^n-sheeted regular cover that is a Z/pZ-L-space (for p prime), then Y is a Z/pZ-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.

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BibTeX RIS

Tye Lidman, Ciprian Manolescu. 2016-03-02. Floer homology and covering spaces. https://arxiv.org/abs/1603.00584

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