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

Y. -P. Lee
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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.

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Y. -P. Lee. 2004-05-24. Witten's conjecture and Virasoro conjecture for genus up to two. https://arxiv.org/abs/math/0310442

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