3 papers
math.GT2022
Smooth Knot Limit Sets of the Complex Hyperbolic Plane
Waldemar Barrera, Rene Garcia, Juan Pablo Navarrete
It is shown that if a regular knot of class C2 is embedded in the boundary of the complex hyperbolic plane as the limit set of a discrete subgroup of PU(2, 1) then it is either a c…
math.DS2021
A Family of Complex Kleinian Split Solvable Groups
Waldemar Barrera, Rene Garcia, Juan Pablo Navarrete
It is shown that lattices of a family of split solvable subgroups of PSL(N + 1, C) are complex Kleinian using techniques of Lie groups and dynamical systems, also that there exists…
hep-th2021
Geometric models of soliton vortex dynamics
Rene Garcia
We focus on BPS solutions of the gauged O(3) Sigma model, due to Schroers, and use these ideas to study the geometry of the moduli space. The model has an asymmetry parameter b…