A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Study domination between non-Fuchsian surface group representations and anti-de Sitter geometry.
We prove that any nonabelian, non-Fuchsian representation of a surface group into PSL(2,R) is the holonomy of a folded hyperbolic structure on the surface. Using similar ideas, we establish that any non-Fuchsian representation rho of a surface group into PSL(2,R) is strictly dominated by some Fuchsian representation j,…
We consider the space of all quasifuchsian metrics on the product of a surface with the real line. We show that, in a neighborhood of the submanifold consisting of fuchsian metrics, every non-fuchsian metric is completely determined by the bending data of its convex core.
Study trace systoles on surfaces, finding optimal bounds and implications.
New theorem proves rigidity of Kleinian group representations under specific conditions.
New representations preserve hyperbolicity but not Fuchsian property.
The Teichmüller space of hyperbolic metrics on a surface with fixed lengths at the boundary components is symplectic. We prove that any sum of infinitesimal earthquakes on that is tangent to is Hamiltonian, by providing a Hamiltonian . Such fun…
In this paper we give a complete description of the space $ \QF $ of quasifuchsian punctured torus groups in terms of what we call {\em pleating invariants}. These are natural invariants of the boundary $\bch$ of the convex core of the associated hyperbolic 3-manifold and give coordinates for the non-Fuchsian group…