19 citations · 20 across the 6 of their papers we have counts for
8 papers
Estimation of first-order sensitivity indices based on symmetric reflected Vietoris-Rips complexes areas
Alberto J Hernández, Maikol Solís, Ronald A. Zúñiga-Rojas
In this paper we estimate the first-order sensitivity index of random variables within a model by reconstructing the embedding manifold of a two-dimensional cloud point. The model…
Stratifications on the Nilpotent Cone of the moduli space of Hitchin pairs
Peter B. Gothen, Ronald A. Zúñiga-Rojas
We consider the problem of finding the limit at infinity (corresponding to the downward Morse flow) of a Higgs bundle in the nilpotent cone under the natural -action…
Geometric Invariant Theory, holomorphic vector bundles and the Harder-Narasimhan filtration
Alfonso Zamora, Ronald A. Zúñiga-Rojas
This survey intends to present the basic notions of Geometric Invariant Theory (GIT) through its paradigmatic application in the construction of the moduli space of holomorphic vec…
A Brief Survey of Higgs Bundles
Ronald Alberto Zúñiga-Rojas
Considering a compact Riemann surface of genus greater than two, a Higgs~bundle is a pair composed of a holomorphic bundle over the Riemann surface, joint with an auxiliar vector f…
Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples
Ronald A. Zúñiga-Rojas
There is an isomorphism between the moduli spaces of -stable holomorphic triples and some of the critical submanifolds of the moduli space of -Higgs bundles of rank three, wh…
Estratificações no espaço móduli dos fibrados de Higgs
Ronald A. Zúñiga-Rojas
The work of Hausel proves that the Bialynicki-Birula stratification of the moduli space of rank two Higgs bundles coincides with its Shatz stratification. These two stratifications…
Stabilization of the Homotopy Groups of the Moduli Spaces of -Higgs Bundles
Ronald A. Zúñiga-Rojas
The work of Hausel proves that the Białynicki-Birula stratification of the moduli space of rank two Higgs bundles coincides with its Shatz stratification. He uses that to estimate…
Stratifications on the Moduli Space of Higgs Bundles
Peter B. Gothen, Ronald A. Zúñiga-Rojas
The moduli space of Higgs bundles has two stratifications. The Bialynicki-Birula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs…