The equivariant Toda lattice, I
Algebraic Geometry
2007-05-23 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.math/0207025,
title = {The equivariant Toda lattice, I},
author = {Ezra Getzler},
journal= {arXiv preprint arXiv:math/0207025},
year = {2007}
}
Comments
Small corrections in Section 2