A spectral sequence for symplectic homology

Abstract

We construct a spectral sequence converging to symplectic homology of a Lefschetz fibration whose E1 page is related to Floer homology of the monodromy symplectomorphism and its iterates. We use this to show the existence of fixed points of certain symplectomorphisms.

40 pages, 1 figure. Added a minimum principle to address a technical issue

References in corpus (6)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Functors and Computations in Floer homology with Applications Part II
• An exact sequence for contact- and symplectic homology
• Non-displaceable contact embeddings and infinitely many leaf-wise intersections
• Computability and the growth rate of symplectic homology
• Lefschetz Fibrations on Compact Stein Manifolds

Cited by in corpus (3)

• From symplectic cohomology to Lagrangian enumerative geometry
• Lagrangian sections on mirrors of toric Calabi-Yau 3-folds
• Computability and the growth rate of symplectic homology