3 papers
cs.CG2026
Computing an e-net of a closed hyperbolic surface
Vincent Delecroix, Vincent Despré, Camille Lanuel +2
Hyperbolic surfaces are a fundamental object in mathematics and play an increasingly important role in computational geometry and topology. A key ingredient in the design of effici…
cs.CG2026
On the size of k-irreducible triangulations
Vincent Delecroix, Oscar Fontaine, Arnaud de Mesmay
A triangulation of a surface is k-irreducible if every non-contractible curve has length at least k and any edge contraction breaks this property. Equivalently, every edge belongs…
math.DS2024
Diagonal flow detects topology of strata
Mark Bell, Vincent Delecroix, Vaibhav Gadre +2
We study the interplay between the diagonal flow on, and the topology of, a stratum component of a space of rooted quadratic differentials. We prove that the flow group -- the subg…