3-Manifold Groups

By Matthias Aschenbrenner, Stefan Friedl, Henry Wilton. 2012

331 citations recorded by the source corpus.

We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8fb9784bcfef4d8dcbb11e1c7d95042c1d6b4874

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Pavel A. Zalesskii
2. Henry Wilton
3. Gareth Wilkes

In Mathematical Physics

1. Pavel A. Zalesskii
2. Henry Wilton
3. Gareth Wilkes

Citations in the corpus

• Acylindrical hyperbolicity of groups acting on trees (2013, unknown): “Our main reference for properties of fundamental groups of 3-manifold groups is [5].”
• Distinguishing geometries using finite quotients (2014, methodology): “The proof of Theorem A uses the dramatic recent developments of Agol [1], Kahn and Markovic [27] and Wise [50], whose work implies that the fundamental groups of closed hyperbolic 3–manifolds are also fundamental groups of compact, virtually special cube complexes (see [3] for a summary of these dev”