中文

A Conjecture on Hodge Integrals

代数几何 2007-05-23 v1 数学物理 math.MP

摘要

We propose a conjectural formula expressing the generating series of some Hodge integrals in terms of representation theory of Kac-Moody algebras. Such generating series appear in calculations of Gromov-Witten invariants by localization techniques. It generalizes a formula conjectured by Mari\~no and Vafa, recently proved in joint work with Chiu-Chu Melissa Liu and Kefeng Liu. Some examples are presented.

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引用

@article{arxiv.math/0310282,
  title  = {A Conjecture on Hodge Integrals},
  author = {Jian Zhou},
  journal= {arXiv preprint arXiv:math/0310282},
  year   = {2007}
}