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

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-F92E-1 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-F92F-0
Genre: Journal Article

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1801.07242.pdf (Preprint), 634KB
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 Creators:
Zinger, Aleksey1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry, Symplectic Geometry
 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.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 41
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1801.07242
DOI: 10.1016/j.geomphys.2019.103479
URI: http://arxiv.org/abs/1801.07242
 Degree: -

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Title: Journal of Geometry and Physics
  Abbreviation : J. Geom. Phys.
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 145 Sequence Number: 103479 Start / End Page: - Identifier: -