English

Witten's conjecture and Virasoro conjecture for genus up to two

Algebraic Geometry 2007-05-23 v5

Abstract

This is an expository paper based on the results in [12] and [16]. The main goal is to prove the following two conjectures for genus up to two. (1) Witten's conjecture on the relations between higher spin curves and Gelfand-Dickey Hierarchies. (2) Virasoro conjecture for conformal semisimple Frobenius manifolds.

Keywords

Cite

@article{arxiv.math/0310442,
  title  = {Witten's conjecture and Virasoro conjecture for genus up to two},
  author = {Y. -P. Lee},
  journal= {arXiv preprint arXiv:math/0310442},
  year   = {2007}
}

Comments

submitted to proceedings of conference "Gromov-Witten Theory of Spin Curves and Orbifolds". Final version