Parameterized Gromov-Witten invariants and topology of symplectomorphism groups

Details Parameterized Gromov-Witten invariants and topology of symplectomorphism groups Parameterized Gromov-Witten invariants and topology of symplectomorphism groups

2007-04-30

arxiv.org/abs/0704.3899v2

Advanced Studies in Pure Math., 52, (2008), 51-75.

Mathematics

Symplectic Geometry

23 pages, final version

Scientific paper

In this note we introduce parameterized Gromov-Witten invariants for
symplectic fiber bundles and study the topology of the symplectomorphism group.
We also give sample applications showing the non-triviality of certain homotopy
groups of some symplectomorphism groups.

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