Algebraic & Geometric Topology

Representation theory for the Križ model

Samia Ashraf, Haniya Azam, and Barbu Berceanu

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The natural action of the symmetric group on the configuration spaces F(X,n) induces an action on the Križ model E(X,n). The representation theory for this complex is studied and a big acyclic subcomplex which is Sn–invariant is described.

Article information

Algebr. Geom. Topol., Volume 14, Number 1 (2014), 57-90.

Received: 4 May 2012
Revised: 4 July 2013
Accepted: 4 July 2013
First available in Project Euclid: 19 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55R80: Discriminantal varieties, configuration spaces 20C30: Representations of finite symmetric groups
Secondary: 55P62: Rational homotopy theory 13A50: Actions of groups on commutative rings; invariant theory [See also 14L24]

representations of symmetric groups configuration spaces rational model


Ashraf, Samia; Azam, Haniya; Berceanu, Barbu. Representation theory for the Križ model. Algebr. Geom. Topol. 14 (2014), no. 1, 57--90. doi:10.2140/agt.2014.14.57.

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