The cohomology rings of the unordered configuration spaces of the torus
arXiv:1901.01171 · doi:10.2140/agt.2020.20.2995
Abstract
We study the cohomology ring of the configuration space of unordered points in the two dimensional torus. In particular, we compute the mixed Hodge structure on the cohomology, the action of the mapping class group, the structure of the cohomology ring and we prove the formality over the rationals.
arXiv commentThis was part of arXiv:1805.04906v2 (section 4), 13 pages, 1 figure
References in corpus (9)
- Cohomology of abelian arrangements
- Betti numbers and stability for configuration spaces via factorization homology
- Orlik-Solomon-type presentations for the cohomology algebra of toric arrangements
- Betti numbers of configuration spaces of surfaces
- The Lambrechts-Stanley Model of Configuration Spaces
- Two Examples of Toric Arrangements
- Betti numbers of unordered configuration spaces of the torus
- Representation theory for the Kriz model
- Cohomology of the toric arrangement associated with