A note on an effective characterization of covers with an application to higher rank representations
Document Type
Journal Article
Role
Author
Published In
Groups, Geometry, and Dynamics
Volume
20
Issue
3
First Page
871
Last Page
904
Publication Date
11-8-2024
Abstract
In this note we prove an effective characterization of when two finite-degree covers of a connected, orientable surface of negative Euler characteristic are isomorphic in terms of which curves have simple elevations, weakening the hypotheses to consider curves with explicitly bounded self-intersection number. As an application we show that for sufficiently large N, the set of unmarked traces associated to simple closed curves in a generically chosen representation to SLN(R) distinguishes between pairs of non-isomorphic covers.
Suggested Citation
Aougab, T., Lahn, M., Loving, M., & Miller, N. (2024). A note on an effective characterization of covers with an application to higher rank representations. Groups, Geometry, and Dynamics, 20(3), 871–904. https://doi.org/10.4171/ggd/836
