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Equivariant principal bundles on toric varieties. Dey, Arijit


We classify holomorphic as well as algebraic $T$-equivariant principal $G$-bundles $E$ over a nonsingular toric variety $X$, where $G$ is a complex linear algebraic group. We will also see that any algebraic principal $G$-bundle $E_G$ on $X$ is $T$-equivariant iff $E_G$ admits a logarithmic connection singular over $X-T$.  This is a joint work with Indranil Biswas and Mainak Poddar.

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