Introduction to combinatorial torsions /

Introduction to combinatorial torsions /

Saved in:

Bibliographic Details
Author / Creator:	Turaev, V. G. (Vladimir G.), 1954-
Imprint:	Basel ; Boston : Birkhäuser Verlag, c2001.
Description:	viii, 123 p. : ill. ; 24 cm.
Language:	English
Series:	Lectures in mathematics ETH Zürich
Subject:	Manifolds (Mathematics) Torsion theory (Algebra) Homology theory. Homology theory. Manifolds (Mathematics) Torsion theory (Algebra)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/4436852

Hidden Bibliographic Details
ISBN:	3764364033 (alk. paper) 0817664033 (alk. paper)
Notes:	Includes bibliographical references (p. [117]-119) and index.

Table of 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
III. Refined Torsions
18. The sign-refined torsion
19. The Conway link function
20. Euler structures
21. Torsion versus Seiberg-Witten invariants.