Generating Functions in Algebraic Geometry and Sums over Trees
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
We calculate generating functions for the Poincare polynomials of moduli spaces of pointed curves of genus zero and of Configuration Spaces of Fulton and MacPherson. We also prove that contributions of multiple coverings of curves in a Calabi-Yau threefold calculated via Kontsevich's compactification coincide with the prediction of Candelas et al., and Aspinwall and Morrison.
Cite
@article{arxiv.alg-geom/9407005,
title = {Generating Functions in Algebraic Geometry and Sums over Trees},
author = {Yu. I. Manin},
journal= {arXiv preprint arXiv:alg-geom/9407005},
year = {2008}
}
Comments
15 pages. AMS-Tex