5 papers
The Asayama-Matsumoto conjecture and a refined discrepancy bound
Alessio Basti, Tommaso Cremaschi
Every -vertex plane triangulation admits a polychromatic red--blue vertex coloring with discrepancy at most $n-2\ceil{n/3}\le\floor{n/3}$, resolving a conjecture of Asayama and…
Monomial web basis for the SL(N) skein algebra of the twice punctured sphere
Tommaso Cremaschi, Daniel C. Douglas
We give a new proof of a slightly modified version of a result of Queffelec--Rose, by constructing a linear basis for the skein algebra of the twice punctured sphe…
Filling Riemann surfaces by hyperbolic Schottky manifolds of negative volume
Tommaso Cremaschi, Viola Giovannini, Jean-Marc Schlenker
We provide conditions under which a Riemann surface is the asymptotic boundary of a convex co-compact hyperbolic manifold, homeomorphic to a handlebody, of negative renormalize…
Covers of surfaces
Ian Biringer, Yassin Chandran, Tommaso Cremaschi +4
We study the homeomorphism types of certain covers of (always orientable) surfaces, usually of infinite-type. We show that every surface with non-abelian fundamental group is cover…
Behaviour of the Schwarzian derivative on long complex projective tubes
Tommaso Cremaschi, Viola Giovannini
The Schwarzian derivative parametrizes the fibres of the space of complex projective structures on a surface as vector bundle over its Teichmüller space. We study its behaviour on…