1 citations · 1 across the 4 of their papers we have counts for
4 papers
Chern-Simons deformations of the gauged O(3) Sigma model on compact surfaces
Rene I. Garcia-Lara
Existence of solutions to the field equations of the gauged Chern-Simons-O(3)-Sigma model on a compact Riemann surface is proved by a topological method. Existence of a minimal def…
Existence of abelian BPS vortices on surfaces with Neumann boundary conditions
Rene Garcia-Lara
Existence of abelian BPS vortices on a manifold with boundary satisfying Neumann boundary conditions is proved. Numeric solutions are constructed on the Euclidean disk, and the L^2…
Volume entropy of a family of rank one, split-solvable Lie groups of Abelian type
Rene Garcia-Lara
We study a family of metrics on Euclidean space that generalize the left-invariant metric of the SOL group and the metric of the logarithmic model of Hyperbolic space. Suppose G is…
The geometry of the space of vortices on a two-sphere in the Bradlow limit
R. I. Garcia Lara, J. M. Speight
It is proved that the normalized metric on the moduli space of -vortices on a two-sphere, endowed with any Riemannian metric, converges uniformly in the Bradlow limit to t…