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Cohomology of 3-points configuration spaces of complex projective spaces
-
Samia Ashraf
and
Barbu Berceanu
Published/Copyright:
October 8, 2014
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.
Keywords: Configurations in complex projective spaces; Križ model; representations of symmetric group.
Published Online: 2014-10-8
Published in Print: 2014-10-1
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- On the type number of a hypersurface in the 6-dimensional sphere
- On the equality case in Ehrhart’s volume conjecture
- Hamiltonian stability of Hamiltonian minimal Lagrangian submanifolds in pseudo- and para-Kähler manifolds
- The holomorphic symplectic structures on hyper-Kähler manifolds of type A∞
- Bifurcation values and stability of algebras of bounded polynomials
- Families of bitangent planes of space curves and minimal non-fibration families
- On deformations of G2-structures by Killing vector fields
- Cohomology of 3-points configuration spaces of complex projective spaces
- Slope stability of Fano fourfolds with respect to smooth surfaces
- On quartics with lines of the second kind
Keywords for this article
Configurations in complex projective spaces;
Križ model;
representations of symmetric group.
Articles in the same Issue
- Frontmatter
- On the type number of a hypersurface in the 6-dimensional sphere
- On the equality case in Ehrhart’s volume conjecture
- Hamiltonian stability of Hamiltonian minimal Lagrangian submanifolds in pseudo- and para-Kähler manifolds
- The holomorphic symplectic structures on hyper-Kähler manifolds of type A∞
- Bifurcation values and stability of algebras of bounded polynomials
- Families of bitangent planes of space curves and minimal non-fibration families
- On deformations of G2-structures by Killing vector fields
- Cohomology of 3-points configuration spaces of complex projective spaces
- Slope stability of Fano fourfolds with respect to smooth surfaces
- On quartics with lines of the second kind
