Monodromy of Rank 2 Parabolic Hitchin Systems

2019/06/10 by Georgios Kydonakis, Hao Sun, Kydonakis, Georgios +3
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1906.03740

Abstract

We study the monodromy of the Hitchin fibration for moduli spaces of parabolic G-Higgs bundles in the cases when G=SL(2,R), GL(2,R) and PGL(2,R) A calculation of the orbits of the monodromy with Z2-coefficients provides an exact count of the components of the moduli spaces for these groups.

Related

• Isomorphisms between moduli of parabolic Higgs bundles
• Parabolic Hitchin Maps and Their Generic Fibers
• Hitchin fibration under ramified coverings
• Hitchin fibrations on moduli of irregular Higgs bundles and motivic\n wall-crossing
• Springer correspondence and mirror symmetries for parabolic Hitchin systems