Analytic torsion and Reidemeister torsion

Higher Franz - Reidemeister Torsion

In this expository article I will discuss the theory of higher Franz-Reidemeister torsion and its application to the construction of non-trivial classes in the algebraic K-theory of elds. I will also explain how these ideas may be used to construct classes in the cohomology of the Torelli group.

Reidemeister Franz Torsion

INTRODUCTION In this paper we discuss an approach to the study of closed, connected, oriented manifolds, with infinite fundamental group which have a special property which we call L 2-acyclicity. The first object of our exposition is to summarise in an accessible form what we have established about such manifolds in [2]. As a result of discussions on this work which occurred during the confere...

A Relationship between the Non-acyclic Reidemeister Torsion and a Zero of the Acyclic Reidemeister Torsion

We show a relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion for a λ-regular SU(2) or SL(2,C)-representation of a knot group. Then we give a method to calculate the non-acyclic Reidemeister torsion of a knot exterior. We calculate a new example and investigate the behavior of the non-acyclic Reidemeister torsion associated to a 2-bridge knot...

The Relationship between a Zero of Acyclic Reidemeister Torsion and Non Acyclic Reidemeister Torsion

Given a λ-regular SU(2) or SL(2,C)-representation of a knot group, we show how to calculate non-abelian twisted Reidemeister torsion of its knot exterior. This method is due to considering the relationship between a zero of acyclic Reidemeister torsion and non-acyclic Reidemeister torsion. We calculate some examples and investigate the behavior of non-abelian SU(2)-twisted Reidemeister torsion ...

Notes on the Reidemeister Torsion