TL;DR
This paper computes the monodromy action on mod 2 cohomology for SL(2,C) Hitchin systems and explores implications for the moduli space of semistable SL(2,R) Higgs bundles.
Contribution
It provides the first detailed calculation of monodromy on mod 2 cohomology for SL(2,C) Hitchin systems and applies these results to real Higgs bundle moduli spaces.
Findings
Monodromy action characterized on mod 2 cohomology.
Implications for the topology of SL(2,R) Higgs bundle moduli space.
New connections between Hitchin systems and real Higgs bundle moduli spaces.
Abstract
We calculate the monodromy action on the mod 2 cohomology for SL(2,C) Hitchin systems and give an application of our results in terms of the moduli space of semistable SL(2,R) Higgs bundles.
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