The asymptotic geometry of the Teichm\"uller metric: Dimension and rank
Abstract
We analyze the asymptotic cones of Teichm\"uller space with the Teichm\"uller metric, (T(S),dT). We give a new proof of a theorem of Eskin-Masur-Rafi which bounds the dimension of quasiisometrically embedded flats in (T(S),dT). Our approach is an application of the ideas of Behrstock and Behrstock-Minsky to the quasiisometry model we previously built for (T(S),dT).
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.