From the 1 of 5 linked papers with an AI index.
5 papers
A Theorem of Wolpert, and some Variations
Ludovico Battista, Nolwenn Le Quellec, Juan Souto
The paper provides a streamlined proof that, in generic cases, hyperbolic surfaces sharing the same spectrum are actually isometric, and extends the result to quasi‑Fuchsian groups…
Large genus asymptotics for frequency of non-simple curves
Mingkun Liu, Kasra Rafi, Juan Souto +1
We give an expression for the frequency of non-simple curves in closed surfaces and exploit it to study relative frequencies of such curves in large genus. This extend to the case…
Can You Hear the Shape of a Hyperbolic Surface? Now for Real
Ludovico Battista, Juan Souto
We associate a musical instrument, a "hyperbolic marimba", to every pair where is a hyperbolic surface and a simple multicurve labeled with musical keys.…
On graphs, homology bases, and triangulated homology spheres
Karim Adiprasito, Marc Lackenby, Juan Souto +1
We describe a construction that takes as input a graph and a basis for its first homology, and returns a triangulation of a 3-dimensional homology sphere. This makes precise an ide…
Holomorphic maps between moduli spaces II
Rodrigo De Pool, Juan Souto
We prove that forgetful maps are the only non-constant holomorphic maps between moduli spaces, as long as and $g'\le 3\cdot 2^{g…