5 papers · 1 filter
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…
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…
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…
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…
A topologically rigid set of quotients of the Davis complex
Yandi Wu
A class of topological spaces is topologically rigid if any two spaces with the same fundamental group are also homeomorphic. Topological rigidity, in addition to its intrinsic int…