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arxiv: 0704.3899 · v2 · submitted 2007-04-30 · 🧮 math.SG

Parameterized Gromov-Witten invariants and topology of symplectomorphism groups

classification 🧮 math.SG
keywords groupssymplectomorphismgromov-witteninvariantsparameterizedtopologyapplicationsbundles
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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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