Low Dimensional Topology, Lectures at the Morningside Center of Mathematics (Vol. 3 of Series in New Studies in Advanced Mathematics) Editors: Benghe Li, Shicheng Wang, Xuezhi Zhao ISBN #: 1-57146-112-4 Year of Publication: 2003 Page: 80 Binding: Softcover Price: $48

Description

This volume contains most of the series of lectures presented during the half-year program of Low-Dimensional Topology, held at The Morningside Center of Mathematics, of the Chinese Academy of Sciences, Beijing. The order of contents is based on the chronological order in which the lectures were presented.

This book is the third volume of the series in New Studies in Advanced Mathematics. The other two volumes are: Morse Theory, Minimax Theory, and their Applications to Nonlinear Differential Equations, and Lectures on Partial Differential Equations: Proceedings in Honor of Louis Nirenberg's 75th Birthday.

Table of Contents

• Definition of the Seiberg- Witten (SW) invariants of 4-manifolds - John W. Morgan
• Computation of SW invariants for certain 4-manifolds - John W. Morgan
• Heegaard splittings of 3-manifolds - Martin Scharlemann
• Dehn filling - C. McA. Gordon
• Dehn's Lemma and the Loop Theorem - Hyam Rubinstein
Polyhedral Geometry - Hyam Rubinstein
• Triangulations of 3-manifolds - Hyam Rubinstein