Representation theory for the Kriz model
arXiv:1204.1272 · doi:10.2140/agt.2014.14.57
Abstract
The natural action of the symmetric group on the configuration spaces F(X; n) induces an action on the Kriz model E(X; n). The represen- tation theory of this DGA is studied and a big acyclic subcomplex which is Sn-invariant is described.
25 pages
References in corpus (1)
Cited by in corpus (5)
- On the geometry and topology of partial configuration spaces of Riemann surfaces
- Representation stability of power sets and square free polynomials
- Asymptotic growth of Betti numbers of ordered configuration spaces on an elliptic curve
- The Frobenius character of the Orlik-Terao algebra of type A
- The cohomology rings of the unordered configuration spaces of the torus