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Cohomology of 3-points configuration spaces of complex projective spaces

Geometric Topology 2012-12-07 v1 Algebraic Topology

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.

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Cite

@article{arxiv.1212.1291,
  title  = {Cohomology of 3-points configuration spaces of complex projective spaces},
  author = {Samia Ashraf and Barbu Berceanu},
  journal= {arXiv preprint arXiv:1212.1291},
  year   = {2012}
}

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23 pages