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Science/Engineering The Reidemeister Torsion of 3-Manifolds

Posted on 2010-03-16




Name:Science/Engineering The Reidemeister Torsion of 3-Manifolds
ASIN/ISBN:3110173832
Language:English
File size:1.2 Mb
Publish Date: 2002
ISBN: 3110173832
Pages: 249 pages
File Type: PDF
File Size: 1,2 MB
Other Info: Walter de Gruyter
   Science/Engineering The Reidemeister Torsion of 3-Manifolds

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Liviu I. Nicolaescu, "The Reidemeister Torsion of 3-Manifolds"

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 left 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 "left 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.

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