The Toda conjecture

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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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