445 citations
- Max Planck Institute for Gravitational PhysicsDE21 papers
- California Institute of TechnologyUS10 papers
- Los Alamos National LaboratoryUS8 papers
- University of WashingtonUS8 papers
- Massachusetts Institute of TechnologyUS7 papers
- University of FloridaUS7 papers
- University of Maryland, College ParkUS7 papers
- University of MichiganUS7 papers
- Carnegie Mellon UniversityUS6 papers
- Northwestern UniversityUS6 papers
- Stanford UniversityUS6 papers
- The University of TokyoJP6 papers
5 papers · 1 filter
On slicing invariants of knots
Brendan Owens
The slicing number of a knot, , is the minimum number of crossing changes required to convert to a slice knot. This invariant is bounded above by the unknotting number…
Surgery description of colored knots
R. A. Litherland, Steven D. Wallace
The pair (K,r) consisting of a knot K and a surjective map r from the knot group onto a dihedral group is said to be a p-colored knot. D. Moskovich conjectured that for any odd pri…
Unknotting information from Heegaard Floer homology
Brendan Owens
We use Heegaard Floer homology to obtain bounds on unknotting numbers. This is a generalisation of Ozsvath and Szabo's obstruction to unknotting number one. We determine the unknot…
Filamentations for Virtual Links
William J. Schellhorn
In 2002, D. Hrencecin and L.H. Kauffman defined a filamentation invariant on oriented chord diagrams that may determine whether the corresponding flat virtual knot diagrams are non…
Property P for Knots admitting Certain Gabai Disks
Oliver T. Dasbach, Tao Li
We show that if a knot has a minimal spanning surface that admits certain Gabai disks, then this knot has Property P. As one of the applications we extend and simplify a recent res…