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The Reidemeister torsion of 3-manifo...

Nicolaescu, Liviu I.

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The Reidemeister torsion of 3-manifolds /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Reidemeister torsion of 3-manifolds // Liviu I. Nicolaescu.
其他題名:	Reidemeister torsion of three-manifolds
作者:	Nicolaescu, Liviu I.
出版者:	Berlin ;Walter de Gruyter, : c2003.,
面頁冊數:	xiv, 249 p. :ill. ;25 cm.
標題:	Three-manifolds (Topology) -
ISBN:	9783110173833

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

The Reidemeister torsion of 3-manifolds /Reidemeister torsion of three-manifoldsLiviu I. Nicolaescu. - Berlin ;Walter de Gruyter,c2003. - xiv, 249 p. :ill. ;25 cm. - De Gruyter studies in mathematics ;30. - De Gruyter studies in mathematics ;30..

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

"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."--

ISBN: 9783110173833EUR149.95

LCCN: 2002041469Subjects--Topical Terms:

552605
Three-manifolds (Topology)

LC Class. No.: QA613.2 / .N53 2003

Dewey Class. No.: 514/.3

The Reidemeister torsion of 3-manifolds /
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520 # $a "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."-- $c Amazon.com
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