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Reduced Gromov-Witten invariants without ghost bubble censorship

Symplectic Geometry 2026-04-16 v1 Algebraic Geometry

Abstract

We give a definition of all-genus reduced Gromov-Witten invariants of symplectic manifolds by using effectively supported multivalued perturbations on derived orbifold/Kuranishi charts, which bypasses the hard analytical result of sharp compactification/ghost bubble censorship of Zinger and Ekholm-Shende.

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Cite

@article{arxiv.2604.13209,
  title  = {Reduced Gromov-Witten invariants without ghost bubble censorship},
  author = {Guangbo Xu},
  journal= {arXiv preprint arXiv:2604.13209},
  year   = {2026}
}

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65 pages