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THE HOMOLOGY OF MODULI SPACES ON A RIEMANN SURFACE AS A REPRESENTATION OF THE MAPPING CLASS GROUP
Published online by Cambridge University Press: 01 September 1999
Abstract
Let $M_{g,k}$ be the moduli space of flat SU(2)-connections on a compact Riemann surface $\Sigma_g$ of genus $g \ge 2$ punctured in a point $p$ in a small open disc $D$, with holonomy $(-1)^k$ about $\partial D$. This paper gives an explicit decomposition of the rational intersection homology of $M_{g,k}$ into irreducible representations of the oriented mapping class group $\mbox{Map}^+(\Sigma_g)$ of $\Sigma_g$.
1991 Mathematics Subject Classification: primary 14D20; secondary 14H60, 55N33.
- Type
- Research Article
- Information
- Proceedings of the London Mathematical Society , Volume 79 , Issue 2 , September 1999 , pp. 260 - 282
- Copyright
- 1999 London Mathematical Society
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