The equivariant Toda lattice, I

Abstract

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.

Small corrections in Section 2

Cited by in corpus (2)

• Extended Toda Lattice
• Hirota Quadratic Equations for the Extended Toda Hierarchy