|
A sewn up link exterior is a 3-manifold obtained by removing a
tubular neighborhood of a link of two components in a 3-manifold and
then gluing up the boundary components. It is possible to perform
surgery on a sewn up link exterior to reduce its first homology group
to a finite group. Such manifolds are called surgered sewn up link
exteriors and serve as important examples of rational homology
spheres, which arise in many contexts including gauge theory and
Seiberg-Witten invariants of 4-manifolds.
In my talk I will first talk about Dehn surgery ( geometric
techniques that describe 3-manifolds) and then show you how the
above manifolds can be constructed by Dehn surgery on links with very
few components.
|