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On the Voevodsky Motive of the Moduli Stack of Vector Bundles on a Curve
Abstract We define and study the motive of the moduli stack of vector bundles of fixed rank and degree over a smooth projective curve in Voevodskyā€™s category of motives. We prove that this motive can be written as a homotopy colimit of motives of smooth projective Quot schemes of torsion ā€¦