The Reidemeister torsion of 3-manifolds /

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Bibliographic Details
Author / Creator:Nicolaescu, Liviu I.
Imprint:Berlin ; New York : Walter de Gruyter, c2003.
Description:xiv, 249 p. : ill. ; 25 cm.
Language:English
Series:De Gruyter studies in mathematics 30
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4832746
Hidden Bibliographic Details
Varying Form of Title:Reidemeister torsion of three-manifolds
ISBN:3110173832 (cloth : alk. paper)
Notes:Includes bibliographical references (p. [239]-244) and indexes.

MARC

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504 |a Includes bibliographical references (p. [239]-244) and indexes. 
505 0 0 |g 1.  |t Algebraic preliminaries --  |g 1.1.  |t The torsion of acyclic complexes of vector spaces --  |g 1.2.  |t The determinant line of a chain complex --  |g 1.3.  |t Basic properties of the torsion --  |g 1.4.  |t Some generalizations --  |g 1.5.  |t Abelian group algebras --  |g 1.6.  |t Abelian harmonic analysis --  |g 2.  |t The Reidemeister torsion --  |g 2.1.  |t The Reidemeister torsion of a CW-complex --  |g 2.2.  |t Fitting ideals --  |g 2.3.  |t The Alexander function and the Reidemeister torsion --  |g 2.4.  |t The Reidemeister torsion of 3-manifolds --  |g 2.5.  |t Computing the torsion of 3-manifolds using surgery presentations --  |g 2.6.  |t Plumbings --  |g 2.7.  |t Applications --  |g 3.  |t Turaev's refined torsion --  |g 3.1.  |t Combinatorial Euler structures --  |g 3.2.  |t Smooth Euler structures --  |g 3.3.  |t U(2) and Spin[superscript c](3) --  |g 3.4.  |t Euler structures on 3-manifolds --  |g 3.5.  |t The Reidemeister-Turaev torsion of Euler structures --  |g 3.6.  |t Arithmetic properties of the Reidemeister-Turaev torsion of 3-manifolds --  |g 3.7.  |t Axiomatic description of the Reidemeister-Turaev torsion of 3-manifolds --  |g 3.8.  |t The torsion of rational homology 3-spheres. Part 1 --  |g 3.9.  |t Quadratic functions, spin[superscript c] structures and charges --  |g 3.10.  |t The torsion of rational homology 3-spheres. Part 2 --  |g 4.  |t Alternative interpretations of the Reidemeister torsion --  |g 4.1.  |t A gauge theoretic interpretation: Seiberg-Witten invariants --  |g 4.2.  |t A Morse theoretic interpretation --  |g 4.3.  |t A spectral interpretation: the Ray-Singer analytic torsion --  |g A.  |t Algebra --  |g B.  |t Topology. 
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