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A Note on Knot Floer Homology and Fixed Points of Monodromy

Ni, Yi (2022) A Note on Knot Floer Homology and Fixed Points of Monodromy. Peking Mathematical Journal . ISSN 2096-6075. doi:10.1007/s42543-022-00051-3. (In Press)

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Using an argument of Baldwin–Hu–Sivek, we prove that if K is a hyperbolic fibered knot with fiber F in a closed, oriented 3-manifold Y, and HFKˆ(Y,K,[F],g(F)−1) has rank 1, then the monodromy of K is freely isotopic to a pseudo-Anosov map with no fixed points. In particular, this shows that the monodromy of a hyperbolic L-space knot is freely isotopic to a map with no fixed points.

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Ni, Yi0000-0002-5287-4258
Additional Information:The author was partially supported by NSF Grant Number DMS-1811900. The author wishes to thank John Baldwin for many helpful discussions and comments on a draft of this paper.
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Record Number:CaltechAUTHORS:20221004-861294200.2
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:117229
Deposited By: Tony Diaz
Deposited On:12 Oct 2022 17:29
Last Modified:12 Oct 2022 17:29

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