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$π_1$ of symplectic automorphism groups and invertibles in quantum homology rings

Paul Seidel
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Abstract

We define a homomorphism from (a certain extension of) the fundamental group of the Hamiltonian automorphism group of a symplectic manifold to the group of invertibles in its quantum cohomology ring. The manifold must satify a technical condition similar to weak monotonicity. This revised version has been entirely rewritten. It is more general and contains new examples and applications.

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BibTeXRIS

Paul Seidel. 1997-05-04. $π_1$ of symplectic automorphism groups and invertibles in quantum homology rings. https://arxiv.org/abs/dg-ga/9511011

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