The Frobenius Characteristic of the Orlik–Terao Algebra of Type A

Author:

Pagaria Roberto1

Affiliation:

1. Dipartimento di Matematica , Università di Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy

Abstract

Abstract We provide a new virtual description of the symmetric group action on the cohomology of ordered configuration space on $SU_2$ up to translations. We use this formula to prove the Moseley–Proudfoot–Young conjecture. As a consequence we obtain the graded Frobenius character of the Orlik–Terao algebra of type $A_n$.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference34 articles.

1. Representation theory for the Križ model;Ashraf;Algebraic Geom. Topol.,2014

2. Products of linear forms and Tutte polynomials;Berget;Eur. J. Comb.,2010

3. The hypertoric intersection cohomology ring;Braden;Invent. Math.,2009

4. Computations of Gel’fand-Fuks Cohomology, the Cohomology of Function Spaces, and the Cohomology of Configuration Spaces.” In Geometric Applications of Homotopy Theory (Proc. Conf., Evanston, Ill., 1977), I;Cohen,1978

5. The Homology of ${C}_{n+1}$-Spaces, $n\ge $;Cohen,1976

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