The Reidemeister torsion of 3-manifolds / Liviu I. Nicolaescu.

Format:

Book

Author/Creator:

Nicolaescu, Liviu I.

Series:

Gruyter studies in mathematics ; 30.

De Gruyter studies in mathematics ; 30

Language:

English

Subjects (All):

Three-manifolds (Topology).

Reidemeister torsion.

Physical Description:

1 online resource (263 p.)

Edition:

1st ed.

Other Title:

Reidemeister torsion of three-manifolds

Place of Publication:

Berlin ; New York : Walter de Gruyter, 2003.

Language Note:

English

Summary:

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.

Contents:

Front matter

Contents

Chapter 1. Algebraic preliminaries

Chapter 2. The Reidemeister torsion

Chapter 3. Turaev's refined torsion

Chapter 4. Alternative interpretations of the Reidemeister torsion

Appendix A. Algebra

Appendix B. Topology

Back matter

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [239]-244) and index.

ISBN:

9786612194351

9781282194359

1282194356

9783119161923

3119161926

9783110198102

311019810X

OCLC:

191891752