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.
Effective length‐projection bounds for hyperbolic 3‐manifolds diffeomorphic to S×R
Gabriele Viaggi
2026-01-01
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.File in questo prodotto:
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