SYZ duality for parabolic Higgs moduli spaces
Indranil Biswas, Arijit Dey
TL;DR
This paper establishes the SYZ duality for the moduli space of full flag parabolic Higgs bundles on a compact Riemann surface, extending previous results from Higgs vector bundles to parabolic cases.
Contribution
It proves the SYZ duality for parabolic Higgs moduli spaces, generalizing earlier work on Higgs vector bundles.
Findings
SYZ duality holds for full flag parabolic Higgs moduli spaces
Extends previous duality results to parabolic Higgs bundles
Provides new insights into the geometry of parabolic Higgs moduli
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.
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