2013/10/31 by Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong
Mathematics · #math.AG
published as IMRN 2016, no.7, 2127-2144 · 13 pages
arxiv created 2015/01/04 · arxiv updated 2016/07/27
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 note, 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 (arXiv:0709.1453, arXiv:0807.0597) for affine toric Calabi-Yau 3-orbifolds in arXiv:1310.4818.