Published October 12, 2022
| Version public
Journal Article
A Note on Knot Floer Homology and Fixed Points of Monodromy
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.
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.Additional details
Identifiers
- Eprint ID
- 117229
- Resolver ID
- CaltechAUTHORS:20221004-861294200.2
Funding
- NSF
- DMS-1811900
Dates
- Created
-
2022-10-12Created from EPrint's datestamp field
- Updated
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2022-10-12Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- Mathematics Department