Effective length‐projection bounds for hyperbolic 3‐manifolds diffeomorphic to S×R
Year: 2026
Type: article
Abstract: We give a formula with explicit constants relating the subsurface projection of the end invariants of a hyperbolic 3‐manifold diffeomorphic to and the length of the geodesic representative in of the multicurve . This makes effective and computable the large projections versus short curves relation proved by Minsky. We give an application to closed hyperbolic 3‐manifolds fibering over the circle providing a geometric analog of the uniform projection bound in fibered faces of Minsky and Taylor.
Source: Journal of Topology
DOI: 10.1112/topo.70096
Author: Gabriele Viaggi
Institution: University of Pisa
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,930
OpenAlex ID: W7203826070