2 papers
math.GT2026
The non-peripheral curve graph and divergence in big mapping class groups
Assaf Bar-Natan, Yulan Qing, Kasra Rafi
We introduce a numerical invariant measuring the end-complexity of and use it to organize coarse-geometric features of Map(). Our main tool is the \emph{non-periphera…
math.GR2023
An algorithm to decide if an outer automorphism is geometric
Edgar A. Bering, Yulan Qing, Derrick R. Wigglesworth
An outer automorphism of a free group is geometric if it can be represented by a homeomorphism of a compact surface. Bestvina and Handel gave an algorithmic characterization of geo…