644 citations
- Princeton Plasma Physics LaboratoryUS10 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Laboratoire de Physique ThéoriqueFR7 papers
- Columbia UniversityUS6 papers
- New York UniversityUS6 papers
- University of California, BerkeleyUS6 papers
- Tel Aviv UniversityIL5 papers
- University of British ColumbiaCA5 papers
- Courant Institute of Mathematical SciencesUS4 papers
- Johns Hopkins UniversityUS4 papers
- National High Magnetic Field LaboratoryUS4 papers
- ETH ZurichCH3 papers
4 papers · 2 filters
Shrinkwrapping and the taming of hyperbolic 3-manifolds
Danny Calegari, David Gabai
We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental g…
3-manifolds that admit knotted solenoids as attractors
Boju Jiang, Yi Ni, Shicheng Wang
Motivated by the study in Morse theory and Smale's work in dynamics, the following questions are studied and answered: (1) When does a 3-manifold admit an automorphism having a kno…
Khovanov homology and the slice genus
Jacob A. Rasmussen
We use Lee's work on the Khovanov homology to define a knot invariant s. We show that s(K) is a concordance invariant and that it provides a lower bound for the slice genus of K. A…
Knots with unknotting number one and Heegaard Floer homology
Peter Ozsvath, Zoltan Szabo
We use Heegaard Floer homology to give obstructions to unknotting a knot with a single crossing change. These restrictions are particularly useful in the case where the knot in que…