3 papers
math.DG2025
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…
math.DG2018
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…
math.SG2018
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…