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

Hoskins, Victoria; Pepin Lehalleur, Simon

doi:10.2140/gt.2021.25.3555

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

Victoria Hoskins and Simon Pepin Lehalleur

Geometry & Topology 25 (2021) 3555–3589

DOI: 10.2140/gt.2021.25.3555

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.

Keywords

motives, moduli stack, vector bundles

Mathematical Subject Classification

Primary: 14C15, 14D23

References

Publication

Received: 15 April 2020

Revised: 14 September 2020

Accepted: 23 October 2020

Published: 25 January 2022

Proposed: Dan Abramovich

Seconded: Frances Kirwan, Jim Bryan

Authors

Victoria Hoskins
IMAPP Radboud University Nijmegen Nijmegen Netherlands

Simon Pepin Lehalleur
IMAPP Radboud University Nijmegen Nijmegen Netherlands

Volume 25, issue 7 (2021)