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A continuously varying family of vector spaces of the same dimension over a topological space. If the vector spaces are one-dimensional, the term line bundle is used and has the associated tag line-bundles.

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Theta bundles on moduli space of principal G-bundles

Let $G$ be a simply connected, semi-simple affine algebraic group and $C$ be a smooth projective curve with $g \geq 3$. Let $\mathcal{M}_G$ be a moduli stack of principal G-bundles on the curve $C$ a …
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