7 citations · 33 across the 14 of their papers we have counts for
14 papers
Semiclassical Limits of Strongly Parabolic Higgs Bundles and Hyperpolygon Spaces
Lynn Heller, Sebastian Heller, Claudio Meneses
We investigate the Hitchin hyperkähler metric on the moduli space of strongly parabolic $\mathfrak{sl}(2,\C)$-Higgs bundles on the -punctured Riemann sphere and its degeneration…
Geometric Models and Variation of Weights on Moduli of Parabolic Higgs Bundles over the Riemann Sphere: a Case Study
Claudio Meneses
We construct explicit geometric models for moduli spaces of semi-stable strongly parabolic Higgs bundles over the Riemann sphere, in the case of rank two, four marked points, arbit…
Macroscopic observables from the comparison of local reference systems
Claudio Meneses, Jose A. Zapata
Parallel transport as dictated by a gauge field determines a collection of local reference systems. Comparing local reference systems in overlapping regions leads to an ensemble of…
Thin homotopy and the holonomy approach to gauge theories
Claudio Meneses
We survey several mathematical developments in the holonomy approach to gauge theory. A cornerstone of this approach is the introduction of group structures on spaces of based loop…
On a functional of Kobayashi for Higgs bundles
Sergio A. H. Cardona, Claudio Meneses
We define a functional for the space of Hermitian metrics on an arbitrary Higgs bundle over a compact Kähler manifold, as a natural generalization of the mean curvatu…
Linear phase space deformations with angular momentum symmetry
Claudio Meneses
Motivated by the work of Leznov--Mostovoy, we classify the linear deformations of standard -dimensional phase space that preserve the obvious symplectic -symme…
Optimum weight chamber examples of moduli spaces of stable parabolic bundles in genus 0
Claudio Meneses
We present an explicit construction of the moduli spaces of rank 2 stable parabolic bundles of parabolic degree 0 over the Riemann sphere, corresponding to "optimum" open weight ch…
Homotopy classes of gauge fields and the lattice
Claudio Meneses, José A. Zapata
For a smooth manifold , possibly with boundary and corners, and a Lie group , we consider a suitable description of gauge fields in terms of parallel transport, as groupoid h…
Remarks on groups of bundle automorphisms over the Riemann sphere
Claudio Meneses
A geometric characterization of the structure of the group of automorphisms of an arbitrary Birkhoff-Grothendieck bundle splitting over $\math…
On Shimura's isomorphism and -bundles on the upper-half plane
Claudio Meneses
For a compact real form of a complex simple Lie group , and an irreducible representation of a Fuchsian group of the first kind , it is shown that the classica…
On vector-valued Poincaré series of weight 2
Claudio Meneses
Given a pair of a Fuchsian group of the first kind, and a unitary representation of of arbitrary rank, the problem of construction of vector-valued Poincaré series…
Logarithmic connections, WZNW action, and moduli of parabolic bundles on the sphere
Claudio Meneses, Leon A. Takhtajan
Moduli spaces of stable parabolic bundles of parabolic degree over the Riemann sphere are stratified according to the Harder--Narasimhan filtration of underlying vector bundles…
Geometry of C-flat connections, coarse graining and the continuum limit
Jorge Martínez, Claudio Meneses, José A. Zapata
A notion of effective gauge fields which does not involve a background metric is introduced. The role of scale is played by cellular decompositions of the base manifold. Once a cel…
Differentiation matrices for meromorphic functions
Rafael G. Campos, Claudio Meneses
A procedure to obtain differentiation matrices is extended straightforwardly to yield new differentiation matrices useful to obtain derivatives of complex rational functions. Such…