Abstract
The Hilbert scheme$X^{[a]}$of points on a complex manifold$X$is a compactification of the configuration space of$a$-element subsets of$X$. The integral cohomology of$X^{[a]}$is more subtle than the rational cohomology. In this paper, we compute the mod 2 cohomology of$X^{[2]}$for any complex manifold$X$, and the integral cohomology of$X^{[2]}$when$X$has torsion-free cohomology.
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Reference22 articles.
1. Hypersurfaces that are not stably rational;Totaro;J. Amer. Math. Soc.
2. Differential Forms in Algebraic Topology
Cited by
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