Gromov-Witten theory of banded gerbes over schemes

Elena Andreini; Yunfeng Jiang; Hsian-Hua Tseng

Gromov-Witten theory of banded gerbes over schemes

Algebraic Geometry 2011-02-02 v2 Symplectic Geometry

Authors: Elena Andreini , Yunfeng Jiang , Hsian-Hua Tseng

Abstract

Let $X$ be a smooth complex projective algebraic variety. Let $\mathcal{G}$ be a $G$ -banded gerbe with $G$ a finite abelian group. We prove an exact formula expressing genus $g$ orbifold Gromov-Witten invariants of $\mathcal{G}$ in terms of those of $X$ .

Keywords

Gromov-Witten theory gerbe orbifold algebraic variety finite abelian group genus g invariant

Cite

@article{arxiv.1101.5996,
  title  = {Gromov-Witten theory of banded gerbes over schemes},
  author = {Elena Andreini and Yunfeng Jiang and Hsian-Hua Tseng},
  journal= {arXiv preprint arXiv:1101.5996},
  year   = {2011}
}

Comments

v1:32 pages, preliminary version, comments welcome; v2: a typo removed, comments still welcome

Gromov-Witten theory of banded gerbes over schemes

Abstract

Keywords

Cite

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