The Toda conjecture

Abstract

We study the Toda conjecture of Eguchi and Yang for the Gromov-Witten invariants of CP^1,using the bihamiltonian method of the formal calculus of variations. We also study its relationship to the Virasoro conjecture for CP^1, recently proved by Givental (math.AG/0108100).

Proceedings of conference on symplectic geometry, KIAS, Seoul, August 2000

References in corpus (4)

• Gromov-Witten theory, Hurwitz numbers, and Matrix models, I
• Virasoro constraints and the Chern classes of the Hodge bundle
• Constraints For Topological Strings In $D\ge 1$
• The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies

Cited by in corpus (7)

• Melting Crystal, Quantum Torus and Toda Hierarchy
• Cohomology of moduli spaces
• Mirror Symmetry And Quantum Geometry
• Integrable structure of melting crystal model with external potentials
• 4D limit of melting crystal model and its integrable structure
• Spin cobordism categories in low dimensions
• Gromov--Witten invariants of the Riemann sphere