Symplectic Floer homology and the mapping class group

Mathematics – Symplectic Geometry

Scientific paper

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11 pages, Latex

Scientific paper

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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