Betti numbers of configuration spaces of surfaces
Gabriel C. Drummond-Cole, Ben Knudsen
TL;DR
This paper provides explicit formulas for calculating the Betti numbers of unordered configuration spaces on any finite-type surface, covering both stable and unstable cases.
Contribution
It introduces new explicit formulas for Betti numbers of configuration spaces on surfaces, applicable to all finite-type surfaces.
Findings
Derived formulas for stable Betti numbers
Derived formulas for unstable Betti numbers
Applicable to all finite-type 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.
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