Betti numbers of configuration spaces of surfaces

Abstract

We give explicit formulas for the Betti numbers, both stable and unstable, of the unordered configuration spaces of an arbitrary surface of finite type.

arXiv commentMinor changes. To appear in the Journal of the London Mathematical Society. May vary slightly from published version

References in corpus (5)

• Factorization homology of topological manifolds
• Homological stability for configuration spaces of manifolds
• Homological stability for unordered configuration spaces
• Computing cohomology of configuration spaces
• Betti numbers of unordered configuration spaces of the torus

Cited by in corpus (13)

• Higher enveloping algebras
• Betti numbers and stability for configuration spaces via factorization homology
• Chiral Homology of elliptic curves and the Zhu algebra
• Computing cohomology of configuration spaces
• Asymptotic homology of graph braid groups
• Quillen homology of spectral Lie algebras with application to mod $p$ homology of labeled configuration spaces
• The cohomology rings of the unordered configuration spaces of the torus
• The Lubin-Tate Theory of Configuration Spaces: I
• Extra structure on the cohomology of configuration spaces of closed orientable surfaces
• Cohomology of configuration spaces on punctured varieties
• Extremal stability for configuration spaces
• A Kuenneth theorem for configuration spaces
• Strong stability and shifted stability for the cohomology of configuration spaces