2.5k citations
- University of ChicagoUS5 papers
- Princeton UniversityUS4 papers
- Paul Scherrer InstituteCH3 papers
- Space Research Organisation NetherlandsNL3 papers
- Astronomical Institute of the Slovak Academy of SciencesSK2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Hungarian Academy of SciencesHU2 papers
- Institute of Space and Astronautical ScienceJP2 papers
- Kavli Institute for Particle Astrophysics and CosmologyUS2 papers
- King's College LondonGB2 papers
- Massachusetts Institute of TechnologyUS2 papers
- New York State Psychiatric Institute2 papers
6 papers · 2 filters
The next simplest hyperbolic knots
Abhijit Champanerkar, Ilya Kofman, Eric Patterson
We complete the project begun by Callahan, Dean and Weeks to identify all knots whose complements are in the SnapPea census of hyperbolic manifolds with seven or fewer tetrahedra.…
Monopoles and lens space surgeries
Peter Kronheimer, Tomasz Mrowka, Peter Ozsvath +1
Monopole Floer homology is used to prove that real projective three-space cannot be obtained from Dehn surgery on a non-trivial knot in the three-sphere. To obtain this result, we…
On the Heegaard Floer homology of branched double-covers
Peter Ozsvath, Zoltan Szabo
Let be a link. We study the Heegaard Floer homology of the branched double-cover of , branched along . When is an alternating link, $\HFa$ of its…
Knot Floer homology, genus bounds, and mutation
Peter Ozsvath, Zolta Szabo
In an earlier paper, we introduced a collection of graded Abelian groups $\HFKa(Y,K)$ associated to knots in a three-manifold. The aim of the present paper is to investigate these…
On knot Floer homology and lens space surgeries
Peter Ozsvath, Zoltan Szabo
In an earlier paper, we used the absolute grading on Heegaard Floer homology to give restrictions on knots in which admit lens space surgeries. The aim of the present article…
Equivalent curves in surfaces
Christopher J. Leininger
We consider various equivalence relations on the set of homotopy classes of curves on a hyperbolic surface based on topological, algebraic, and geometric structures. The purpose of…