SYZ duality for parabolic Higgs moduli spaces

Abstract

We prove the SYZ (Strominger-Yau-Zaslow) duality for the moduli space of full flag parabolic Higgs bundles over a compact Riemann surface.The SYZ duality was proved for moduli spaces of Higgs vector bundles over a compact Riemann surface by Hausel and Thaddeus.

arXiv admin note: text overlap with arXiv:math/0005132 and with arXiv:math/0205236

References in corpus (3)

• Mirror symmetry, Langlands duality, and the Hitchin system
• Examples of mirror partners arising from integrable systems
• Symplectic Structures on Moduli Spaces of Parabolic Higgs Bundles and Hilbert Scheme

Cited by in corpus (2)

• Topological mirror symmetry for parabolic Higgs bundles
• SYZ Mirror Symmetry of Hitchin's Moduli Spaces Near Singular Fibers I