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arxiv: math/0108108 · v1 · submitted 2001-08-15 · 🧮 math.AG · math.SG

The Toda conjecture

classification 🧮 math.AG math.SG
keywords conjecturetodabihamiltoniancalculuseguchiformalgiventalgromov-witten
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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).

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