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Geometric goodness of fit measure to detect patterns in data point clouds
(2019)
The curse of dimensionality is a commonly encountered problem in statistics and data
analysis. Variable sensitivity analysis methods are a well studied and established set of
tools designed to overcome these sorts of ...
Geometrical correlation indices using homological constructions on manifolds
(2018)
Abstract The course of dimensionality is a common problem in statistics and data
analysis. Variable sensitivity analysis methods are a well studied and established
set of tools designed to overcome these sorts of problems. ...
Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples
(2020)
There is an isomorphism between the moduli spaces of σ-stable holomorphic triples
and some of the critical submanifolds of the moduli space of k-Higgs bundles of
rank three, whose elements (E, ϕk
) correspond to variations ...
A brief survey of Higgs bundles
Un estudio conciso de fibrados de Higgs
(2019-06)
Considering a compact Riemann surface of genus greater or equal than
two, a Higgs bundle is a pair composed of a holomorphic bundle over the
Riemann surface, joint with an auxiliar vector field, so-called Higgs field.
This ...
Stratifications on the Moduli Space of Higgs Bundles
(2016-11-02)
The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises ...