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Introduction to combinatorial torsions

Author: V G Turaev
Publisher: Basel, Switzerland ; Boston : Birkhäuser, ©2001.
Series: Lectures in mathematics ETH Zürich.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

Offers an introduction to combinatorial torsions of cellular spaces and manifolds with emphasis on torsions of 3-dimensional manifolds. This book describes the results of G Meng, C H Taubes and the  Read more...

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Document Type: Book
All Authors / Contributors: V G Turaev
ISBN: 3764364033 9783764364038 0817664033 9780817664039
OCLC Number: 44468816
Description: viii, 123 p. : ill. ; 24 cm.
Contents: I. Algebraic Theory of Torsions. 1. Torsion of chain complexes. 2. Computation of the torsion. 3. Generalizations and functoriality of the torsion. 4. Homological computation of the torsion --
II. Topological Theory of Torsions. 5. Basics of algebraic topology. 6. The Reidemeister-Franz torsion. 7. The Whitehead torsion. 8. Simple homotopy equivalences. 9. Reidemeister torsions and homotopy equivalences. 10. The torsion of lens spaces. 11. Milnor's torsion and Alexander's function. 12. Group rings of finitely generated abelian groups. 13. The maximal abelian torsion. 14. Torsions of manifolds. 15. Links. 16. The Fox Differential Calculus. 17. Computing [tau](M[superscript 3]) from the Alexander polynomial of links
Series Title: Lectures in mathematics ETH Zürich.
Responsibility: Vladimir Turaev ; notes taken by Felix Schlenk.
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"[The book] contains much of the needed background material in topology and algebra...Concering the considerable material it covers, [the book] is very well-written and readable." --Zentralblatt Math

 
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