Witten's conjecture and Virasoro conjecture for genus up to two
Abstract
Description
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.
submitted to proceedings of conference "Gromov-Witten Theory of Spin Curves and Orbifolds". Final version
submitted to proceedings of conference "Gromov-Witten Theory of Spin Curves and Orbifolds". Final version