51 citations · 407 across the 34 of their papers we have counts for
6 papers · 1 filter
Principal Schottky Bundles over Riemann surfaces
A. C. Casimiro, S. Ferreira, C. Florentino
We introduce and study (strict) Schottky G-bundles over a compact Riemann surface X, where G is a connected reductive algebraic group. Strict Schottky representations are shown to…
A remark on "Connections and Higgs fields on a principal bundle"
Indranil Biswas, Carlos Florentino
We show that a unipotent vector bundle on a non-Kaehler compact complex manifold does not admit a flat holomorphic connection in general. We also construct examples of topologicall…
Toric Kähler metrics seen from infinity, quantization and compact tropical amoebas
Thomas Baier, Carlos Florentino, José M. Mourão +1
We consider the metric space of all toric Kähler metrics on a compact toric manifold; when "looking at it from infinity" (following Gromov), we obtain the tangent cone at infinity,…
On the BKS pairing for Kahler quantizations of the cotangent bundle of a Lie group
Carlos Florentino, Pedro Matias, Jose Mourao +1
A natural one-parameter family of Kähler quantizations of the cotangent bundle of a compact Lie group , taking into account the half-form correction, was studied in \cite…
Geometric quantization, complex structures and the coherent state transform
Carlos Florentino, Pedro Matias, Jose Mourao +1
It is shown that the heat operator in the Hall coherent state transform for a compact Lie group is related with a Hermitian connection associated to a natural one-parameter fam…
Schottky uniformization and vector bundles over Riemann surfaces
Carlos Florentino
We study a natural map from representations of a free group of rank g in GL(n,C), to holomorphic vector bundles of degree 0 over a compact Riemann surface X of genus g, associated…