3 papers
math.GT2026
Stably tangential strict hyperbolization
Mauricio Bustamante, Eduardo Reyes, Stefano Riolo
We show that the Charney--Davis strict hyperbolization procedure can preserve stable tangent bundles, answering a question of Charney and Davis. The key input is the construction o…
math.GR2024
The joint translation spectrum and Manhattan manifolds
Stephen Cantrell, Eduardo Reyes, Cagri Sert
We define and study geometric versions of the Benoist limit cone and matrix joint spectrum, which we call the translation cone and the joint translation spectrum, respectively. The…
math.GT2024
Approximate marked length spectrum rigidity in coarse geometry
Stephen Cantrell, Eduardo Reyes
We compare the marked length spectra of isometric actions of groups with non-positively curved features. Inspired by the recent works of Butt we study approximate versions of marke…