Representation theory for the Kriz model

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)

• Representation theory and homological stability

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