Abstract
Reidemeister torsion is an invariant of simple homotopy type, a precursor of Whitehead torsion, which was originally used in the combinatorial classification of lens spaces. There are many connections between Reidemeister torsion and knots, particularly the Alexander polynomials of knots — see Milnor [193], [194], [195] and Turaev [293], as well as Chap. 17 below. In the current chapter the treatment of Reidemeister torsion in [194] will be generalized to define a relative K-theory invariant for chain complexes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ranicki, A. (1998). Reidemeister torsion. In: High-dimensional Knot Theory. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12011-8_16
Download citation
DOI: https://doi.org/10.1007/978-3-662-12011-8_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08329-7
Online ISBN: 978-3-662-12011-8
eBook Packages: Springer Book Archive