The Reidemeister Torsion of 3-Manifolds / / Liviu I. Nicolaescu.
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 t...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2008] ©2003 |
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Nicolaescu, Liviu I., author. aut http://id.loc.gov/vocabulary/relators/aut The Reidemeister Torsion of 3-Manifolds / Liviu I. Nicolaescu. Berlin ; Boston : De Gruyter, [2008] ©2003 1 online resource (249 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 30 Frontmatter -- 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 -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Reidemeister torsion. Three-manifolds (Topology). Dreidimensionale Mannigfaltigkeit. Knoten (Math.). MATHEMATICS / General. bisacsh Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008 9783110212129 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008 9783110212136 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008 9783110209082 ZDB-23-DMN print 9783110173833 https://doi.org/10.1515/9783110198102 https://www.degruyter.com/isbn/9783110198102 Cover https://www.degruyter.com/document/cover/isbn/9783110198102/original |
language |
English |
format |
eBook |
author |
Nicolaescu, Liviu I., Nicolaescu, Liviu I., |
spellingShingle |
Nicolaescu, Liviu I., Nicolaescu, Liviu I., The Reidemeister Torsion of 3-Manifolds / De Gruyter Studies in Mathematics , Frontmatter -- 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 -- Backmatter |
author_facet |
Nicolaescu, Liviu I., Nicolaescu, Liviu I., |
author_variant |
l i n li lin l i n li lin |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Nicolaescu, Liviu I., |
title |
The Reidemeister Torsion of 3-Manifolds / |
title_full |
The Reidemeister Torsion of 3-Manifolds / Liviu I. Nicolaescu. |
title_fullStr |
The Reidemeister Torsion of 3-Manifolds / Liviu I. Nicolaescu. |
title_full_unstemmed |
The Reidemeister Torsion of 3-Manifolds / Liviu I. Nicolaescu. |
title_auth |
The Reidemeister Torsion of 3-Manifolds / |
title_alt |
Frontmatter -- 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 -- Backmatter |
title_new |
The Reidemeister Torsion of 3-Manifolds / |
title_sort |
the reidemeister torsion of 3-manifolds / |
series |
De Gruyter Studies in Mathematics , |
series2 |
De Gruyter Studies in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2008 |
physical |
1 online resource (249 p.) Issued also in print. |
contents |
Frontmatter -- 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 -- Backmatter |
isbn |
9783110198102 9783110494938 9783110637205 9783110212129 9783110212136 9783110209082 9783110173833 |
issn |
0179-0986 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA613 |
callnumber-sort |
QA 3613.2 _B N53 42003EB |
url |
https://doi.org/10.1515/9783110198102 https://www.degruyter.com/isbn/9783110198102 https://www.degruyter.com/document/cover/isbn/9783110198102/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
514 - Topology |
dewey-full |
514/.3 |
dewey-sort |
3514 13 |
dewey-raw |
514/.3 |
dewey-search |
514/.3 |
doi_str_mv |
10.1515/9783110198102 |
oclc_num |
741344432 |
work_keys_str_mv |
AT nicolaesculiviui thereidemeistertorsionof3manifolds AT nicolaesculiviui reidemeistertorsionof3manifolds |
status_str |
n |
ids_txt_mv |
(DE-B1597)32329 (OCoLC)741344432 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008 Title is part of eBook package: De Gruyter E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008 Title is part of eBook package: De Gruyter E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008 |
is_hierarchy_title |
The Reidemeister Torsion of 3-Manifolds / |
container_title |
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
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