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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 Nilpotent Cone of the moduli space of Hitchin pairs
(2020)
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
C
∗
-action on the moduli space. For general rank we provide ...