Seifert manifold
by
Shicheng Wang
Peking University

Seifert manifolds, containing lens spaces and circle bundles over surfaces as the special cases, are the best understood 3-manifolds and play important role in Thurston's picture of 3-manifold theory. Seifert manifolds attract people by their beauty, and by their rich connections with many other mathematical objects. In this short course, we will introduce Seifert manifolds from vivid examples, state the classification theorem of Seifert manifolds and their position in Thurston's picture for 3-manifolds, explain the connections with orbifold theory, bundle theory, classical tessellations, and geometric structures. We may also discuss why most Seifert manifolds have unique fibration and what are the incompressible surfaces in Seifert manifolds if we have enough time.

Date received: May 26, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabo-07.