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

2003/10/28 by Y. -P. Lee, Lee, Y. -P.
Engineering · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems #math.AG

paper · pdf · doi:10.48550/arxiv.math/0310442

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

openalex publication_date 2003/10/28 · arxiv created 2004/05/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Witten's conjecture, Virasoro conjecture, and invariance of tautological equations
• The Virasoro conjecture for Gromov-Witten invariants
• Tensor products of Frobenius manifolds and moduli spaces of higher spin curves
• Frobenius Manifolds And Virasoro Constraints
• Genus-1 Virasoro conjecture along quantum volume direction