activity
20052019
most citedA Combination Theorem for Convex Hyperbolic Manifolds, with Applications to Surfaces in 3-Manifolds

21 citations · 50 across the 6 of their papers we have counts for

collaborators

6 papers

math.GT2019★ 2 cited

Technical Report: All Principal Congruence Link Groups

Mark D. Baker, Matthias Goerner, Alan W. Reid

This is a technical report accompanying the paper "All Principal Congruence Link Groups" (arXiv:1802.01275) classifying all principal congruence link complements in S^3 by the same…

math.GT2019★ 1 cited

All Known Principal Congruence Links

Mark D. Baker, Matthias Goerner, Alan W. Reid

This report lists the link diagrams in S^3 for all principal congruence link complements for which such a link diagram is known. Several unpublished link diagrams are included. Rel…

math.GT2018★ 12 cited

All principal congruence link groups

Mark D. Baker, Matthias Goerner, Alan W. Reid

We enumerate all the principal congruence link complements in , there by answering a question of W. Thurston. Related articles: "Technical Report: All Principal Congruence Lin…

math.GT2014★ 11 cited

Finite-volume Hyperbolic 3-Manifolds contain immersed Quasi-Fuchsian surfaces

Mark D. Baker, Daryl Cooper

The paper contains a new proof that a complete, non-compact hyperbolic -manifold with finite volume contains an immersed, closed, quasi-Fuchsian surface.

math.GT2012★ 3 cited

Conservative Subgroup Separability For Surfaces With Boundary

Mark D. Baker, Daryl Cooper

If F is a surface with boundary, then a finitely generated subgroup without peripheral elements of G = π_1(F) can be separated from finitely many other elements of G by a finite in…

math.GT2005★ 21 cited

A Combination Theorem for Convex Hyperbolic Manifolds, with Applications to Surfaces in 3-Manifolds

Mark Baker, Daryl Cooper

We prove the convex combination theorem for hyperbolic n-manifolds. Applications are given both in high dimensions and in 3 dimensions. One consequence is that given two geometrica…