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arXiv · alg-geom/9703004

Geometry of Moduli Spaces of Flat Bundles on Punctured Surfaces

Philip A. Foth
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Abstract

We consider the moduli spaces of flat $SL(n, C)$-bundles on Riemann surfaces with one puncture when we fix the conjugacy class ${\cal C}$ of the monodromy transformation around the puncture. We show that under a certain condition on the class ${\cal C}$ (namely the product of $k 1$ and $A_1A_2\cdots A_pA_1^{-1}A_2^{-1}\cdots A_p^{-1}$ belongs to a class which satisfies property P then the $p$ -tuple $(A_1, ..., A_p)$ algebraically generates the whole group $G$.

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BibTeXRIS

Philip A. Foth. 1997-03-05. Geometry of Moduli Spaces of Flat Bundles on Punctured Surfaces. https://arxiv.org/abs/alg-geom/9703004

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