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THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS
Published online by Cambridge University Press: 27 April 2016
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.
MSC classification
- Type
- Research Article
- Information
- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Copyright
- © The Author 2016
References
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