Cohomology of 3-points configuration spaces of complex projective spaces

2012/12/06 by Ashraf, Samia, Berceanu, Barbu
#13A50 #20C30 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Primary: 55R80 #Secondary: 55P62

paper · doi:10.48550/arxiv.1212.1291

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.

Related

• The integral cohomology of configuration spaces of pairs of points in real projective spaces
• Computing cohomology of configuration spaces
• The cohomology ring away from 2 of configuration spaces on real projective spaces
• The integral cohomology groups of configuration spaces of pairs of\n points in real projective spaces
• On configuration spaces, their homology, and Lie algebras