$π_1$ of symplectic automorphism groups and invertibles in quantum homology rings
Abstract
Description
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.
44 pages, LaTeX2e, uses the XY-Pic macros for diagrams
44 pages, LaTeX2e, uses the XY-Pic macros for diagrams