Topology of Blow-ups and Enumerative Geometry
Algebraic Geometry
2016-09-06 v7 Algebraic Topology
Abstract
Let M be the blow--up of a manifold M along a submanifold X. In this paper we present closed formulae for the integral cohomology and the total Chern class of M. As applications we compute the cohomology of the varieties of complete conics and complete quadrices in 3--space, and justify two enumerative results due to Schubert.
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Cite
@article{arxiv.0906.4152,
title = {Topology of Blow-ups and Enumerative Geometry},
author = {Haibao Duan and Banghe Li},
journal= {arXiv preprint arXiv:0906.4152},
year = {2016}
}
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30 pages