Author:
Bayer Arend,Cadman Charles
Abstract
AbstractWe give a construction of the moduli space of stable maps to the classifying stack Bμr of a cyclic group by a sequence of rth root constructions on $\overline {M}_{0, n}$. We prove a closed formula for the total Chern class of μr-eigenspaces of the Hodge bundle, and thus of the obstruction bundle of the genus-zero Gromov–Witten theory of stacks of the form [ℂN/μr]. We deduce linear recursions for genus-zero Gromov–Witten invariants.
Subject
Algebra and Number Theory
Reference28 articles.
1. Gromov–Witten invariants and quantization of quadratic Hamiltonians;Givental;Mosc. Math. J.,2001
2. Gerby localization, ℤ₃-Hodge integrals and the GW theory of [ℂ³/ℤ₃]
3. Quantum Riemann–Roch, Lefschetz and Serre
4. [13] Coates T. , Corti A. , Iritani H. and Tseng H.-H. , The crepant resolution conjecture for type A surface singularities (2007), arXiv:0704.2034.
5. The orbifold quantum cohomology of $\mathbb{C}^{2}/\mathbb{Z}_3$ and Hurwitz-Hodge integrals
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献