Counting Higgs bundles
classification
🧮 math.AG
keywords
bundleshiggscountingcurveformulaprovetwistedclosed
read the original 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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