Fixed point Floer cohomology of disjoint Dehn twists on a w+-monotone manifold with rational symplectic form

Riccardo Pedrotti

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arXiv · 2203.05979

Fixed point Floer cohomology of disjoint Dehn twists on a w+-monotone manifold with rational symplectic form

Riccardo Pedrotti

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Abstract

We give an explicit description of the Floer cohomology of a family of Dehn twists about disjoint Lagrangian spheres in a w+ - monotone rational symplectic manifold. As a byproduct of our framework, in a monotone symplectic manifold we are able to define a class in the fixed point Floer cohomology of a Dehn twist by counting half strips bound to the given Lagrangian sphere and prove it must vanish. In subsequent work we plan on using this vanishing result to give a new geometric proof of Seidel's long exact sequence.

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BibTeX RIS

Riccardo Pedrotti. 2023-08-21. Fixed point Floer cohomology of disjoint Dehn twists on a w+-monotone manifold with rational symplectic form. https://arxiv.org/abs/2203.05979

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