The equivariant Toda lattice, I

Details The equivariant Toda lattice, I The equivariant Toda lattice, I

2002-07-02

arxiv.org/abs/math/0207025v3

Mathematics

Algebraic Geometry

Small corrections in Section 2

Scientific paper

We study a reduction of the Toda lattice in the limit of infintesimal lattice
spacing. Using this reduction, we formulate a conjecture for the equivariant
Gromov-Witten invariants of the sphere, which we prove in genus 0. This
conjecture follows from recent work of Okounkov and Pandharipande
(math.AG/0207233), combined with results from the sequel to this paper.

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