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) https://resolver.caltech.edu/CaltechAUTHORS:20221004-861294200.2
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Abstract
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.
| Item Type: | Article | ||||||
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| 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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| DOI: | 10.1007/s42543-022-00051-3 | ||||||
| Record Number: | CaltechAUTHORS:20221004-861294200.2 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20221004-861294200.2 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 117229 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 12 Oct 2022 17:29 | ||||||
| Last Modified: | 12 Oct 2022 17:29 |
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