IAS/Park City Mathematics Series
Volume: 15; 2009; 315 pp; Hardcover
MSC: Primary 53; 57; 58;
Print ISBN: 978-0-8218-4766-4
Product Code: PCMS/15
List Price: $73.00
Individual Member Price: $58.40
You may also like
Low Dimensional TopologyShare this page
Edited by Tomasz S. Mrowka; Peter S. Ozsváth
A co-publication of the AMS and IAS/Park City Mathematics Institute
Low-dimensional topology has long been a fertile area for the
interaction of many different disciplines of mathematics, including
differential geometry, hyperbolic geometry, combinatorics,
representation theory, global analysis, classical mechanics, and
theoretical physics. The Park City Mathematics Institute summer school
in 2006 explored in depth the most exciting recent aspects of this
interaction, aimed at a broad audience of both graduate students and
The present volume is based on lectures presented at the summer school on low-dimensional topology. These notes give fresh, concise, and high-level introductions to these developments, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field of low-dimensional topology and to senior researchers wishing to keep up with current developments. The volume begins with notes based on a special lecture by John Milnor about the history of the topology of manifolds. It also contains notes from lectures by Cameron Gordon on the basics of three-manifold topology and surgery problems, Mikhail Khovanov on his homological invariants for knots, John Etnyre on contact geometry, Ron Fintushel and Ron Stern on constructions of exotic four-manifolds, David Gabai on the hyperbolic geometry and the ending lamination theorem, Zoltán Szabó on Heegaard Floer homology for knots and three manifolds, and John Morgan on Hamilton's and Perelman's work on Ricci flow and geometrization.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Table of Contents
Table of Contents
Low Dimensional Topology
Graduate students and research mathematicians interested in low dimensional topology.