output
19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

Showing 2008 · math.GTShow all

6 papers · 2 filters

math.GT2008★ 21 cited

The space of closed subgroups of

Benoit Kloeckner

The Chabauty space of a topological group is the set of its closed subgroups, endowed with a natural topology. As soon as , the Chabauty space of has a rather intricate…

math.GT2008★ 1 cited

On the vanishing of the Rokhlin invariant

Tetsuhiro Moriyama

It is a natural consequence of fundamental properties of the Casson invariant that the Rokhlin invariant of an amphichiral integral homology 3-sphere M vanishes. In this paper, we…

math.GT2008★ 2 cited

An invariant of embeddings of 3-manifolds in 6-manifolds and Milnor's triple linking number

Tetsuhiro Moriyama

We give a simple axiomatic definition of a rational-valued invariant s(W,V,e) of triples (W,V,e), where W is a (smooth, oriented, closed) 6-manifold and V is a 3-submanifold of W,…

math.GT2008★ 16 cited

Central extensions of the Ptolemy-Thompson group and quantized Teichmuller theory

Louis Funar, Vlad Sergiescu

The central extension of the Thompson group that arises in the quantized Teichmüller theory is 12 times the Euler class. This extension is obtained by taking a (partial) abelia…

math.GT2008★ 7 cited

The Jones polynomial of ribbon links

Michael Eisermann

For every n-component ribbon link L we prove that the Jones polynomial V(L) is divisible by the polynomial V(O^n) of the trivial link. This integrality property allows us to define…

math.GT2008★ 3 cited

A refined Jones polynomial for symmetric unions

Michael Eisermann, Christoph Lamm

Motivated by the study of ribbon knots we explore symmetric unions, a beautiful construction introduced by Kinoshita and Terasaka in 1957. For symmetric diagrams we develop a two-v…