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

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

1995-11-23

arxiv.org/abs/dg-ga/9511011v4

Mathematics

Differential Geometry

44 pages, LaTeX2e, uses the XY-Pic macros for diagrams

Scientific paper

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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