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June 2012 A product formula for Gromov-Witten invariants
Clément Hyvrier
J. Symplectic Geom. 10(2): 247-324 (June 2012).

Abstract

We establish a product formula for Gromov–Witten invariants for closed relatively semi-positive Hamiltonian fibrations, with connected fiber, and over any connected symplectic base. Furthermore, we show that the fibration projection induces a locally trivial (orbi-)fibration map from the moduli space of pseudo-holomorphic maps with marked points in the total space of the Hamiltonian fibration to the corresponding moduli space of pseudo-holomorphic maps with marked points in the base. We use this induced map to recover the product formula by means of integration. Finally, we give applications to c-splitting and symplectic uniruledness.

Citation

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Clément Hyvrier. "A product formula for Gromov-Witten invariants." J. Symplectic Geom. 10 (2) 247 - 324, June 2012.

Information

Published: June 2012
First available in Project Euclid: 7 June 2012

zbMATH: 1273.53071
MathSciNet: MR2926997

Rights: Copyright © 2012 International Press of Boston

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Vol.10 • No. 2 • June 2012
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