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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
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.

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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