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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.
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- Research Article
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- 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.
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- © The Author 2016
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