The Reidemeister Torsion of 3-Manifolds

The Reidemeister Torsion of 3-Manifolds

by Liviu I. Nicolaescu
     
 

ISBN-10: 3110173832

ISBN-13: 9783110173833

Pub. Date: 06/01/2003

Publisher: De Gruyter, Walter, Inc.

This is a state-of-the-art introduction to the work of Franz Reidemeister, Meng Taubes, Turaev, and the author on the concept of torsion and its generalizations. Torsion is the oldest topological (but not with respect to homotopy) invariant that in its

Overview

This is a state-of-the-art introduction to the work of Franz Reidemeister, Meng Taubes, Turaev, and the author on the concept of torsion and its generalizations. Torsion is the oldest topological (but not with respect to homotopy) invariant that in its almost eight decades of existence has been at the center of many important and surprising discoveries. During the past decade, in the work of Vladimir Turaev, new points of view have emerged, which turned out to be the "right ones" as far as gauge theory is concerned.

The book features mostly the new aspects of this venerable concept. The theoretical foundations of this subject are presented in a style accessible to those, who wish to learn and understand the main ideas of the theory. Particular emphasis is upon the many and rather diverse concrete examples and techniques which capture the subleties of the theory better than any abstract general result. Many of these examples and techniques never appeared in print before, and their choice is often justified by ongoing current research on the topology of surface singularities.

The text is addressed to mathematicians with geometric interests who want to become comfortable users of this versatile invariant.

Product Details

ISBN-13:
9783110173833
Publisher:
De Gruyter, Walter, Inc.
Publication date:
06/01/2003
Series:
de Gruyter Studies in Mathematics Series, #30
Pages:
249
Product dimensions:
6.69(w) x 9.45(h) x (d)
Age Range:
18 Years

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >