Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space

Abstract

We survey some recent developments in the asymptotic geometry of the Hitchin moduli space, starting with an introduction to the Hitchin moduli space and hyperkähler geometry.

References in corpus (10)

• Four-dimensional wall-crossing via three-dimensional field theory
• Ends of the moduli space of Higgs bundles
• Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces
• Gravitational instantons with faster than quadratic curvature decay (II)
• PSL(2;C) connections on 3-manifolds with L2 bounds on curvature
• Asymptotic Geometry of the Hitchin Metric
• Singular Geometry and Higgs Bundles in String Theory
• Aspects of the topology and combinatorics of Higgs bundle moduli spaces
• From $S^1$-fixed points to $\mathcal{W}$-algebra representations
• Generic Ends of the Moduli Space of $SL(n,\mathbb{C})$-Higgs Bundles

Cited by in corpus (3)

• An Introduction to Higgs Bundles via Harmonic Maps
• Aspects of the topology and combinatorics of Higgs bundle moduli spaces
• All 81 crepant resolutions of a finite quotient singularity are hyperpolygon spaces