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Symplectic Floer homology and the mapping class group

Paul Seidel
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Abstract

We consider symplectic Floer homology in the lowest nontrivial dimension, that is to say, for area-preserving diffeomorphisms of surfaces. Particular attention is paid to the quantum cap product; we show that it distinguishes the trivial element of the mapping class group from any nontrivial one.

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Paul Seidel. 2001-03-04. Symplectic Floer homology and the mapping class group. https://arxiv.org/abs/math/0010301

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