Some applications of localization to enumerative problems

Details Some applications of localization to enumerative problems Some applications of localization to enumerative problems

2000-07-13

arxiv.org/abs/math/0007083v1

Mathematics

Algebraic Geometry

14 pages, LaTeX

Scientific paper

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.

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