Branched covers of contact manifolds
Loading...
Author(s)
Casey, Meredith Perrie
Advisor(s)
Editor(s)
Collections
Supplementary to:
Permanent Link
Abstract
We will discuss what is known about the construction of contact structures via branched covers, emphasizing the search for universal transverse knots. Recall that a topological knot is called universal if all 3-manifold can be obtained as a cover of the 3-sphere branched over that knot. Analogously one can ask if there is a transverse knot in the standard contact structure on S³ from which all contact 3-manifold can be obtained as a branched cover over this transverse knot. It is not known if such a transverse knot exists.
Sponsor
Date
2013-10-31
Extent
Resource Type
Text
Resource Subtype
Dissertation