SYZ Mirror Symmetry of Hitchin's Moduli Spaces Near Singular Fibers I
arXiv:1208.3714
Abstract
We study hyperkahler metrics and hyperholomorphic connections of Hitchin's moduli spaces after Gaiotto, Moore and Neitzke. Their construction via the twistor technique produces intricate wall crossing behaviors. For certain four dimensional Hitchin's moduli spaces local models and degeneration to local models near singular fibers of the Hitchin's fibration are understood.
arXiv comment53 pages
References in corpus (9)
- Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
- Four-dimensional wall-crossing via three-dimensional field theory
- Wall-crossing, Hitchin Systems, and the WKB Approximation
- Mirror symmetry, Langlands duality, and the Hitchin system
- Wall-Crossing in Coupled 2d-4d Systems
- The Ooguri-Vafa metric, holomorphic discs and wall-crossing
- Langlands duality for Hitchin systems
- Instanton Correction, Wall Crossing And Mirror Symmetry Of Hitchin's Moduli Spaces
- SYZ duality for parabolic Higgs moduli spaces