Counting Higgs bundles

Published 8 Nov 2014 in math.AG | (1411.2101v1)

Abstract: 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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