English

Betti numbers of configuration spaces of surfaces

Algebraic Topology 2017-08-09 v2

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.

Keywords

Cite

@article{arxiv.1608.07490,
  title  = {Betti numbers of configuration spaces of surfaces},
  author = {Gabriel C. Drummond-Cole and Ben Knudsen},
  journal= {arXiv preprint arXiv:1608.07490},
  year   = {2017}
}

Comments

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