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Counting Higgs bundles

We prove a closed formula counting semistable twisted Higgs bundles of fixed rank and degree over a smooth projective curve defined over a finite field. We also prove a formula for the Donaldson-Thomas invariants of the moduli spaces of twisted Higgs bundles over a curve.

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Co-authorshipAuthorshipAuthorshipTopic signalWCounting Higgs bundlespreprint / 2014ASergey MozgovoyResearcherAOlivier SchiffmannResearcherTmath.AG5393 works
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Counting Higgs bundles

preprint / 2014

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