78 citations · 426 across the 44 of their papers we have counts for
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On the image of the parabolic Hitchin map
David Baraglia, Masoud Kamgarpour
We determine the image of the (strongly) parabolic Hitchin map for all parabolics in classical groups and . Surprisingly, we find that the image is isomorphic to an affine spa…
Monodromy of the and Hitchin fibrations
David Baraglia
We compute the monodromy of the Hitchin fibration for the moduli space of -twisted and -Higgs bundles for any , on a compact Riemann surf…
Brauer group of moduli of Higgs bundles and connections
David Baraglia, Indranil Biswas, Laura P. Schaposnik
Given a compact Riemann surface and a semisimple affine algebraic group defined over , there are moduli spaces of Higgs bundles and of connections associated to…
Complete integrability of the parahoric Hitchin system
David Baraglia, Masoud Kamgarpour, Rohith Varma
Let be a parahoric group scheme over a complex projective curve of genus greater than one. Let denote the moduli stack of $\mathcal{G…
Arithmetic of singular character varieties and their -polynomials
David Baraglia, Pedram Hekmati
We calculate the -polynomials of the and -character varieties of compact oriented surfaces of any genus and the -polynomials of the $SL_2…
Automorphisms of Moduli Spaces Associated to a Riemann Surface
David Baraglia, Indranil Biswas, Laura P. Schaposnik
We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group associated to a compact connected Riemann surface.
Real structures on moduli spaces of Higgs bundles
David Baraglia, Laura P. Schaposnik
We construct triples of commuting real structures on the moduli space of Higgs bundles, whose fixed loci are branes of type (B, A, A), (A, B, A) and (A, A, B). We study the real po…