Some applications of localization to enumerative problems
Algebraic Geometry
2007-05-23 v1
Abstract
A simple corollary of the localization theorem (due to the author and, independently, to Lian-Liu-Yau) is applied to several problems in enumerative geometry. New formulas for Schubert calculus on flag manifolds, due to Kong, and a new reconstruction theorem for genus-zero Gromov-Witten invariants, due to Bertram-Kley, are discussed, as well as some simple functorial properties of Givental's J-function. This paper will appear in the issue of the Michigan Mathematical Journal dedicated to Bill Fulton.
Cite
@article{arxiv.math/0007083,
title = {Some applications of localization to enumerative problems},
author = {Aaron Bertram},
journal= {arXiv preprint arXiv:math/0007083},
year = {2007}
}
Comments
14 pages, LaTeX