On the Reidemeister torsion of rational homology spheres

We prove that the Modℤ reduction of the Reidemeister torsion of a rational homology 3-sphere is naturally a ℚ/ℤ-valued quadratic function uniquely determined by a ℚ/ℤ-constant and the linking form.

Bibliographic Details
Main Author: Liviu I. Nicolaescu
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201010523
Description
Summary:We prove that the Modℤ reduction of the Reidemeister torsion of a rational homology 3-sphere is naturally a ℚ/ℤ-valued quadratic function uniquely determined by a ℚ/ℤ-constant and the linking form.
ISSN:0161-1712
1687-0425