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
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…