326 citations
- Max Planck SocietyDE129 papers
- Max Planck Institute for Mathematics in the SciencesDE33 papers
- Capital Normal UniversityCN8 papers
- University of BonnDE6 papers
- Northwestern UniversityUS5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Fudan UniversityCN4 papers
- Collège de FranceFR3 papers
- Brown UniversityUS2 papers
- California Institute of TechnologyUS2 papers
- ETH ZurichCH2 papers
- King's College LondonGB2 papers
8 papers · 1 filter
Shortening all the simple closed geodesics on surfaces with boundary
Athanase Papadopoulos, Guillaume Théret
We give a proof of an unpublished result of Thurston showing that given any hyperbolic metric on a surface of finite type with nonempty boundary, there exists another hyperbolic me…
Kleinian orbifolds uniformized by RP groups with an elliptic and a hyperbolic generator
Elena Klimenko, Natalia Kopteva
We consider non-elementary Kleinian groups Γ, without invariant plane, generated by an elliptic and a hyperbolic element with their axes lying in one plane. We find presentations a…
Irreducible 4-manifolds with abelian non-cyclic fundamental group of small rank
Rafael Torres
A myriad of irreducible symplectic 4-manifolds with abelian non-cyclic fundamental group is constructed. The botany of manifolds with finite non-cyclic fundamental groups is also s…
New Constructions of Slice Links
Tim D. Cochran, Stefan Friedl, Peter Teichner
We use techniques of Freedman and Teichner to prove that, under certain circumstances, the multi-infection of a slice link is again slice (not necessarily smoothly slice). We provi…
Trees and mapping class groups
Richard P. Kent, Christopher J. Leininger, Saul Schleimer
There is a forgetful map from the mapping class group of a punctured surface to that of the surface with one fewer puncture. We prove that finitely generated purely pseudo-Anosov s…
Twisted Novikov homology and circle-valued Morse theory for knots and links
Hiroshi Goda, Andrei V. Pajitnov
The Morse-Novikov number MN(L) of a smooth link L in the three-dimensional sphere is by definition the minimal possible number of critical points of a regular circle-valued Morse f…