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The equivariant Toda lattice, I

2002/07/02 by Ezra Getzler, Getzler, Ezra
Mathematics · Physics and Astronomy · #37K10 #53D45 #Algebraic Geometry (math.AG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.AG #math.MP #msc:37K10 #msc:53D45 #nlin.SI

paper · pdf · doi:10.48550/arxiv.math/0207025

Small corrections in Section 2

arxiv created 2002/09/10 · arxiv updated 2009/11/30

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.

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