A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve

Abstract

We prove a formula for the motive of the stack of vector bundles of fixed rank and degree over a smooth projective curve in Voevodsky's triangulated category of mixed motives with rational coefficients.

17 pages; references updated

References in corpus (2)

• Motivic classes of moduli of Higgs bundles and moduli of bundles with connections
• On the motive of zero-dimensional Quot schemes on a curve

Cited by in corpus (5)

• On the motive of the nested Quot scheme of points on a curve
• The intersection motive of the moduli stack of shtukas
• Motivic decompositions of moduli spaces of vector bundles on curves
• Hyperquot schemes on curves: virtual class and motivic invariants
• Motivic mirror symmetry and $\chi$-independence for Higgs bundles in arbitrary characteristic