Geodesic
On the motives of moduli of chains and Higgs bundles
Journal of the European Mathematical Society, Tome 16 (2014) no. 12, pp. 2617-2668.

Voir la notice de l'article provenant de la source EMS Press

We take another approach to Hitchin's strategy of computing the cohomology of moduli spaces of Higgs bundles by localization with respect to the circle action. Our computation is done in the dimensional completion of the Grothendieck ring of varieties and starts by describing the classes of moduli stacks of chains rather than their coarse moduli spaces.
DOI : 10.4171/jems/494
Classification : 14-XX, 00-XX
Keywords: Higgs bundle, holomorphic chain, moduli stack, motive, Poincaré polynomial 
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     title = {On the motives of moduli of chains and {Higgs} bundles},
     journal = {Journal of the European Mathematical Society},
     pages = {2617--2668},
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Oscar García-Prada; Jochen Heinloth; Alexander H.W. Schmitt. On the motives of moduli of chains and Higgs bundles. Journal of the European Mathematical Society, Tome 16 (2014) no. 12, pp. 2617-2668. doi : 10.4171/jems/494. http://geodesic.mathdoc.fr/articles/10.4171/jems/494/

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