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Chern-Simons Gauge Theory: 20 Years After
Edited by: Jørgen E. Andersen, Aarhus University, Denmark, Hans U. Boden, McMaster University, Hamilton, ON, Canada, Atle Hahn, Universidade de Lisboa, Portugal, and Benjamin Himpel, Universität Bonn, Germany
A co-publication of the AMS and International Press of Boston, Inc..

AMS/IP Studies in Advanced Mathematics
2011; 446 pp; softcover
Volume: 50
ISBN-10: 0-8218-5353-8
ISBN-13: 978-0-8218-5353-5
List Price: US$137
Member Price: US$109.60
Order Code: AMSIP/50
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Conformal Field Theory and Topology - Toshitake Kohno

In 1989, Edward Witten discovered a deep relationship between quantum field theory and knot theory, and this beautiful discovery created a new field of research called Chern-Simons theory. This field has the remarkable feature of intertwining a large number of diverse branches of research in mathematics and physics, among them low-dimensional topology, differential geometry, quantum algebra, functional and stochastic analysis, quantum gravity, and string theory.

The 20-year anniversary of Witten's discovery provided an opportunity to bring together researchers working in Chern-Simons theory for a meeting, and the resulting conference, which took place during the summer of 2009 at the Max Planck Institute for Mathematics in Bonn, included many of the leading experts in the field. This volume documents the activities of the conference and presents several original research articles, including another monumental paper by Witten that is sure to stimulate further activity in this and related fields. This collection will provide an excellent overview of the current research directions and recent progress in Chern-Simons gauge theory.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.


Graduate students and research mathematicians interested in mathematical physics; topological quantum field theory; Chern-Simons theory.

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