105 citations · 183 across the 11 of their papers we have counts for
11 papers · 1 filter
Verified Length Spectrum and Margulis number for Hyperbolic 3-Manifolds
Matthias Goerner, Robert C. Haraway, Neil R. Hoffman +1
We present a new algorithm to compute a stream for the length spectrum of an oriented, finite-volume hyperbolic 3-manifold . The advantage over the existing algorithm by Hodgson…
Tiling Hyperbolic Manifolds: Algorithms and Applications
Matthias Goerner
We introduce a new tiling algorithm for hyperbolic 3-manifolds. We use it to compute the maximal cusp area matrix; this completely characterizes the space of all embedded and disjo…
Verified computations for closed hyperbolic 3-manifolds
Matthias Goerner
Extending methods first used by Casson, we show how to verify a hyperbolic structure on a finite triangulation of a closed 3-manifold using interval arithmetic methods. A key ingre…
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…
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 Several unpublished link diagrams are included.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…
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…