Counting Higgs bundles

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.

13 pages

References in corpus (3)

• Motivic Donaldson-Thomas invariants and McKay correspondence
• Sur le comptage des fibrés de Hitchin nilpotents
• Indecomposable vector bundles and stable Higgs bundles over smooth projective curves

Cited by in corpus (8)

• On the number of points of nilpotent quiver varieties over finite fields
• Aspects of the topology and combinatorics of Higgs bundle moduli spaces
• E-polynomials of $PGL(2,\mathbb{C})$-character varieties of surface groups
• Motivic Donaldson-Thomas Invariants of Parabolic Higgs Bundles and Parabolic Connections on a Curve
• Irreducible components of the global nilpotent cone
• Indecomposable vector bundles and stable Higgs bundles over smooth projective curves
• Higgs bundles over P^1 and quiver representations
• Twisted spectral correspondence and torus knots