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The motive of the moduli stack of G-bundles over the universal curve
Authors:Donu Arapura  Ajneet Dhillon
Affiliation:(1) Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA;(2) Department of Mathematics, University of Western Ontario, London, Ontario, Canada
Abstract:We define relative motives in the sense of André. After associating a complex in the derived category of motives to an algebraic stack we study this complex in the case of the moduli of G-bundles varying over the moduli of curves.
Keywords:Motive  moduli stack   G-bundle
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