SYZ duality for parabolic Higgs moduli spaces. (English) Zbl 1246.14020
Summary: We prove the SYZ (Strominger-Yau-Zaslow) duality for the moduli space of full flag parabolic Higgs bundles over a compact Riemann surface. In T. Hausel and M. Thaddeus [J. Am. Math. Soc. 16, No.2, 303–329 (2003; Zbl 1015.14018)], the SYZ duality was proved for moduli spaces of Higgs vector bundles over a compact Riemann surface.
MSC:
| 14D20 | Algebraic moduli problems, moduli of vector bundles |
| 14D21 | Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) |
| 14H60 | Vector bundles on curves and their moduli |
| 14F25 | Classical real and complex (co)homology in algebraic geometry |
| 53C08 | Differential geometric aspects of gerbes and differential characters |
Citations:
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