Knot Floer homology and fixed points
Abstract
Abstract If is a fibered knot in a closed, oriented 3‐manifold with fiber , and has rank , then the monodromy of is freely isotopic to a diffeomorphism with at most fixed points. This generalizes earlier work of Baldwin–Hu–Sivek and Ni. We also clarify a misleading formula in Cotton‐Clay's computation of the symplectic Floer homology of mapping classes of surfaces.
Fields of Study & Subjects
Geometric and Algebraic Topology
Mathematical Dynamics and Fractals
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of Topology
- Publisher
- Wiley
- Volume
- 19
- Issue
- 2
- Publication date
- 27 May 2026
- Language
- EN