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Cohomology of 3-points configuration spaces of complex projective spaces

Cohomology of 3-points configuration spaces of complex projective spaces Abstract We compute the Betti numbers and describe the cohomology algebras of the ordered and unordered configuration spaces of three points in complex projective spaces, including the infinite dimensional case. We also compute these invariants for the configuration spaces of three collinear and non-collinear points. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Geometry de Gruyter

Cohomology of 3-points configuration spaces of complex projective spaces

Ashraf, Samia; Berceanu, Barbu
Advances in Geometry , Volume 14 (4) – Oct 1, 2014
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28 pages

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Publisher
de Gruyter
Copyright
Copyright © 2014 by the
ISSN
1615-715X
eISSN
1615-7168
DOI
10.1515/advgeom-2014-0008
Publisher site
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Abstract

Abstract We compute the Betti numbers and describe the cohomology algebras of the ordered and unordered configuration spaces of three points in complex projective spaces, including the infinite dimensional case. We also compute these invariants for the configuration spaces of three collinear and non-collinear points.

Journal

Advances in Geometry – de Gruyter

Published: Oct 1, 2014

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