International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 1, Pages 11-17
doi:10.1155/S0161171201010523
On the Reidemeister torsion of rational homology spheres
University of Notre Dame, Notre Dame 46556, IN, USA
Received 26 June 2000; Revised 21 September 2000
Copyright © 2001 Liviu I. Nicolaescu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.