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- Title
Equivariant Gromov-Witten Theory of Affine Smooth Toric Deligne-Mumford Stacks.
- Authors
Bohan Fang; Chiu-Chu Melissa Liu; Zhengyu Zong
- Abstract
For any finite abelian group G, the equivariant Gromov-Witten invariants of [Cr/G] can be viewed as a certain kind of abelian Hurwitz-Hodge integrals. In this paper, we use Tseng's orbifold quantum Riemann-Roch theorem to express this kind of abelian Hurwitz-Hodge integrals as a sum over Feynman graphs, where the weight of each graph is expressed in terms of descendant integrals over moduli spaces of stable curves and representations of G. This expression will play a crucial role in the proof of the remodeling conjecture for affine toric Calabi-Yau 3-orbifolds by the authors.
- Subjects
ABELIAN groups; GROMOV-Witten invariants; INTEGRALS; RIEMANN-Roch theorems; FEYNMAN diagrams; ORBIFOLDS
- Publication
IMRN: International Mathematics Research Notices, 2016, Vol 2016, Issue 7, p2127
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnv201