Haniya Azam: Cohomology groups of configuration spaces of Riemann surfaces, p.33-47

Abstract:

The $\mc{S}_n$ representation theory for the Kriz model for configuration spaces of 2,3 and 4 points on Riemann surfaces is studied. Betti numbers are computed for the ordered and unordered configuration spaces of the torus and surfaces of higher genus.

Key Words: Configuration spaces, Riemann surfaces, Kriz model, representations of the symmetric group.

2010 Mathematics Subject Classification: Primary: 55R80;
Secondary: 55P62.

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