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Introduction to moduli spaces of connections: some explicit constructions

Frank Loray

Abstract

We give some concrete examples of moduli spaces of connections. Precisely, we explain how to explicitly construct the moduli spaces of rank 2 fuchsian systems and logarithmic connections on the Riemann sphere with 4 poles. The former ones are affine cubic surfaces; the latter ones are analytically isomorphic to affine surfaces but not algebraically: they do not carry non constant regular functions. We end with some remark on arbitrary number of poles.
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hal-01133705 , version 1 (20-03-2015)

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Frank Loray. Introduction to moduli spaces of connections: some explicit constructions. 2015. ⟨hal-01133705⟩
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