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Virtual Neighborhood Technique for Holomorphic Curve Moduli Spaces

Symplectic Geometry 2018-06-06 v2

Abstract

In this paper we use the approach of Ruan and Li-Ruan to construct virtual neighborhoods and show that the Gromov-Witten invariants can be defined as an integral over top strata of virtual neighborhood. We prove that the invariants defined in this way satisfy all the Gromov-Witten axioms of Kontsevich and Manin.

Keywords

Cite

@article{arxiv.1710.10581,
  title  = {Virtual Neighborhood Technique for Holomorphic Curve Moduli Spaces},
  author = {An-Min Li and Li Sheng},
  journal= {arXiv preprint arXiv:1710.10581},
  year   = {2018}
}

Comments

Any comments are welcome. 44 pages,(47pages,v2)