Intrinsic linking and knotting of graphs in arbitrary 3-manifolds
Erica Flapan, Hugh Howards, Don Lawrence, Blake Mellor
Abstract
We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S3. Also, assuming the Poincare Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically knotted in S3.
Create a lesson
Related papers
Linearity of Graph Manifold Groups
Daniel T. Wise
Finding the Birman-Series set
Peter Buser, Hugo Parlier
Thurston's Legacy at the Interface of Surface Dynamics, Train Tracks, and Arithmetic
Ahmad Rafiqi, Ayberk Zeytin
Recognizing oriented knots from finite quotients with one marked element
Indranil Biswas, Shrinit Singh
Symmetries of colored Khovanov-Rozansky homology
Alexis Guérin, Felix Roz
The Colored Jones Function does not determine any colored Links--Gould polynomial
Matthew Harper, Ben-Michael Kohli