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arXiv · 1703.09959

Revisiting the moduli space of semistable G-bundles over elliptic curves

Dragoş Frăţilă
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Abstract

We show that the moduli space of semistable G-bundles on an elliptic curve for a reductive group G is isomorphic to a power of the elliptic curve modulo a certain Weyl group which depend on the topological type of the bundle. This generalises a result of Laszlo to arbitrary connected components and recovers the global description of the moduli space due to Friedman--Morgan--Witten and Schweigert. The proof is entirely in the realm of algebraic geometry and works in arbitrary characteristic.

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Dragoş Frăţilă. 2017-03-29. Revisiting the moduli space of semistable G-bundles over elliptic curves. https://arxiv.org/abs/1703.09959

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