Intersections numbers on the compact variety of rational ruled surfaces
Algebraic Geometry
2008-12-10 v2
Abstract
We consider the Quot scheme, R_{d}, compactifying the space of degree d maps from the projective line to the Grassmannian of lines. We give an algorithm for computing the degree of R_{d} under a "generalized Pl\"ucker embedding", this is a certain Gromov-Witten invariant. The approach is to apply the Atiyah-Bott localization formula for the natural C^{*}-action on R_{d}. These numbers can be obtained directly from Vafa-Intriligator formula.
Keywords
Cite
@article{arxiv.math/0604503,
title = {Intersections numbers on the compact variety of rational ruled surfaces},
author = {Cristina Martinez Ramirez},
journal= {arXiv preprint arXiv:math/0604503},
year = {2008}
}
Comments
19 pages, change of title, the last conjecture has been removed, to appear in the Proceedings of the Quantum topology conference in Hanoi 2007