230 citations
- Centre National de la Recherche ScientifiqueFR9 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR6 papers
- Rutherford Appleton LaboratoryGB5 papers
- CEA Paris-SaclayFR4 papers
- Chemnitz University of TechnologyDE4 papers
- University of CambridgeGB4 papers
- University of LiverpoolGB4 papers
- Imperial College LondonGB3 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di GenovaIT3 papers
- Stockholm UniversitySE3 papers
- Swiss Institute of Comparative LawCH3 papers
- Université Grenoble AlpesFR3 papers
5 papers · 1 filter
Twisted Alexander norms give lower bounds on the Thurston norm
Stefan Friedl, Taehee Kim
We introduce twisted Alexander norms of a compact connected orientable 3-manifold with first Betti number bigger than one generalizing norms of McMullen and Turaev. We show that tw…
Markov's theorem in 3--manifolds
Sofia Lambropoulou, Colin P. Rourke
In this paper we first give a one-move version of Markov's braid theorem for knot isotopy in that sharpens the classical theorem. Then a relative version of Markov's theorem…
Limits of quasifuchsian groups with small bending
C. Series
We study limits of quasifuchsian groups for which the bending measures on the convex hull boundary tend to zero, giving necessary and sufficient conditions for the limit group to e…
Pleating invariants for punctured torus groups
L. Keen, C. Series
In this paper we give a complete description of the space $ \QF $ of quasifuchsian punctured torus groups in terms of what we call {\em pleating invariants}. These are natural inva…
Obstructions to trivializing a knot
Joan S. Birman, John A. Moody
The recent proof by Bigelow and Krammer that the braid groups are linear opens the possibility of applications to the study of knots and links. It was proved by the first author an…