Energy bounds and vanishing results for the Gromov-Witten invariants of the 
projective space

Zinger, Aleksey

doi:10.1016/j.geomphys.2019.103479

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Energy bounds and vanishing results for the Gromov-Witten invariants of the projective space

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Zinger, Aleksey
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1016/j.geomphys.2019.103479
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Citation

Zinger, A. (2019). Energy bounds and vanishing results for the Gromov-Witten invariants of the projective space. Journal of Geometry and Physics, 145: 103479. doi:10.1016/j.geomphys.2019.103479.

Cite as: https://hdl.handle.net/21.11116/0000-0004-F92E-1

Abstract

We describe generating functions for arbitrary-genus Gromov-Witten invariants of the projective space with any number of marked points explicitly. The structural portion of this description gives rise to uniform energy bounds and vanishing results for these invariants. They suggest deep conjectures relating Gromov-Witten invariants of symplectic manifolds to the energy of pseudo-holomorphic maps and the expected dimension of their moduli space.