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arXiv · 1003.4061

A Torelli theorem for moduli spaces of principal bundles over a curve

Indranil Biswas·Norbert Hoffmann
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Abstract

Let X and X' be compact Riemann surfaces of genus at least 3, and let G and G' be nonabelian reductive complex groups. If one component M_G^d(X) of the moduli space for semistable principal G-bundles over X is isomorphic to another component M_{G'}^{d'}(X'), then X is isomorphic to X'.

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Indranil Biswas, Norbert Hoffmann. 2010-03-22. A Torelli theorem for moduli spaces of principal bundles over a curve. https://arxiv.org/abs/1003.4061

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