Szilárd Szabó

most citedAsymptotic behaviour of large-scale solutions of Hitchin's equations in higher rank

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2024

Asymptotic geometry of non-abelian Hodge theory and Riemann--Hilbert correspondence, rank three $E_{6}$ case

Miklos Eper, Szilard Szabo

We prove the Geometric P=W conjecture in rank 3 on the three-punctured sphere. We describe the topology at infinity of the related character variety. We use asymptotic abelianizati…

math.AG2023★ 1 cited

Canonical coordinates for moduli spaces of rank two irregular connections on curves

Arata Komyo, Frank Loray, Masa-Hiko Saito +1

In this paper, we study a geometric counterpart of the cyclic vector which allow us to put a rank 2 meromorphic connection on a curve into a ``companion'' normal form. This allow u…

math.DG2023★ 1 cited

Asymptotic behaviour of large-scale solutions of Hitchin's equations in higher rank

Takuro Mochizuki, Szilárd Szabó

Let $X$ be a compact Riemann surface. Let $(E, θ)$ be a stable Higgs bundle of degree $0$ on $X$ . Let $h_{d e t (E)}$ denote a flat metric of the determinant bundle $det (E)$ . For any…

Asymptotic geometry of non-abelian Hodge theory and Riemann--Hilbert correspondence, rank three E6​ case

Canonical coordinates for moduli spaces of rank two irregular connections on curves

Asymptotic behaviour of large-scale solutions of Hitchin's equations in higher rank

Asymptotic geometry of non-abelian Hodge theory and Riemann--Hilbert correspondence, rank three $E_{6}$ case