The equivariant Gromov-Witten theory of P^1
Algebraic Geometry
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We express all equivariant Gromov-Witten invariants of the projective line as matrix elements of explicit operators acting in the Fock space. As a consequence, we prove the equivariant theory is governed by the 2-Toda hierarchy of Ueno and Takasaki. This is the second in a sequence of three papers devoted to the Gromov-Witten theory of nonsingular target curves (the first paper of the series is math.AG/0204305).
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Cite
@article{arxiv.math/0207233,
title = {The equivariant Gromov-Witten theory of P^1},
author = {Andrei Okounkov and Rahul Pandharipande},
journal= {arXiv preprint arXiv:math/0207233},
year = {2007}
}
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58 pages