Subsurface distances for hyperbolic 3-manifolds fibering over the circle

TL;DR

This paper investigates how the structure of surface projections in hyperbolic fibered 3-manifolds changes uniformly across different fibrations, extending previous results to more general cases.

Contribution

It generalizes earlier work by establishing uniform relations of surface projections for all fibrations of hyperbolic fibered 3-manifolds.

Findings

Uniform relations of surface projections across fibrations

Extension from punctured to general hyperbolic 3-manifolds

Broader applicability of previous theoretical results

Abstract

For a hyperbolic fibered 3-manifold M, we prove results that uniformly relate the structure of surface projections as one varies the fibrations of M. This extends our previous work from the fully-punctured to the general case.