4 papers
Counting and entropy for hyperbolic surface amalgams
Hugo Parlier, Yandi Wu
This paper is about closed hyperbolic surface amalgams with a focus on the growth of the number of closed geodesics. As in the case of surfaces, we show that topological and volume…
Iso-length-spectral Hyperbolic Surface Amalgams
Yandi Wu
Two negatively curved metric spaces are iso-length-spectral if they have the same multisets of lengths of closed geodesics. A well-known paper by Sunada provides a systematic way o…
Filling Links and Essential Systole
Christopher J. Leininger, Yandi Wu
We answer a question of Freedman and Krushkal, producing filling links in any closed, orientable 3-manifold. The links we construct are hyperbolic, and have large essential systole…
Marked Length Spectrum Rigidity for Surface Amalgams
Yandi Wu
In this paper, we show that simple, thick negatively curved two-dimensional P-manifolds, a large class of surface amalgams, are marked length spectrum rigid. That is, if two piecew…