8 citations · 24 across the 7 of their papers we have counts for
8 papers
Simpson's geometric P=W conjecture in the Painlevé VI case via abelianization
Szilard Szabo
We use abelianization of Higgs bundles near infinity to prove the homotopy commutativity assertion of Simpson's geometric P=W conjecture in the Painlevé VI case.
Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber
Péter Ivanics, András I. Stipsicz, Szilárd Szabó
We analyze and completely describe the four cases when the Hitchin fibration on a -dimensional moduli space of irregular Higgs bundles over has a single singul…
Nahm transformation for parabolic Higgs bundles on the projective line --- case of non-semisimple residues
Szilard Szabo
We extend our earlier construction of Nahm transformation for parabolic Higgs bundles on the projective line to solutions with not necessarily semisimple residues and show that it…
The birational geometry of irregular Higgs bundles
Szilárd Szabó
We give a variant of the Beauville--Narasimhan--Ramanan correspondence for irregular parabolic Higgs bundles with semi-simple irregular part and show that it defines a Poisson isom…
The Plancherel theorem for Fourier--Laplace--Nahm transform for connections on the projective line
Szilárd Szabó
We prove that the Fourier--Laplace--Nahm transform for connections on the projective line is a hyper-Kähler isometry.
Nahm transform and parabolic minimal Laplace transform
Szilard Szabo
We prove that Nahm transform for integrable connections with a finite number of regular singularities and an irregular singularity of rank 1 on the Riemann sphere is equivalent --…
Deformations of Fuchsian equations and logarithmic connections
Szilard Szabo
We give a geometric proof to the classical fact that the dimension of the deformations of a given generic Fuchsian equation without changing the semi-simple conjugacy class of its…
Nahm transform for integrable connections on the Riemann sphere
Szilard Szabo
In this work we are concerned with reduction of the ASD-equations to the Riemann sphere, that is integrable connections with a harmonic metric, or equivalently Higgs bundles with a…