Symplectic Floer homology of area-preserving surface diffeomorphisms

By Andrew Cotton-Clay. 2008

51 citations recorded by the source corpus.

The symplectic Floer homology HF_*(f) of a symplectomorphism f:S->S encodes data about the fixed points of f using counts of holomorphic cylinders in R x M_f, where M_f is the mapping torus of f. We give an algorithm to compute HF_*(f) for f a surface symplectomorphism in a pseudo-Anosov or reducible mapping class, completing the computation of Seidel's HF_*(h) for h any orientation-preserving mapping class.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2af3915b6d37b1fe595bdef5a793d35b83dacdf9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. I. Smith
2. Ben Webster
3. E. Witten

In Geometry and Topology

1. I. Smith
2. M. Abouzaid
3. P. Seidel
4. D. Auroux
5. Ben Webster
6. Yankı Lekili
7. A. Kislev
8. E. Shelukhin

In Mathematical Physics

1. I. Smith
2. M. Abouzaid
3. P. Seidel
4. D. Auroux
5. Ben Webster
6. Yankı Lekili
7. A. Kislev
8. E. Shelukhin

Citations in the corpus

• Floer cohomology and pencils of quadrics (2010, methodology): “A. Cotton-Clay.”