Higher even dimensional Reidemeister torsion for torus knot exteriors

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...

Non–abelian Reidemeister Torsion for Twist Knots

Twist knots form a family of special two–bridge knots which include the trefoil knot and the figure eight knot. The knot group of a two–bridge knot has a particularly nice presentation with only two generators and a single relation. One could find our interest in this family of knots in the following facts: first, twist knots except the trefoil knot are hyperbolic; and second, twist knots are n...

Twisted Reidemeister Torsion for Twist Knots

A. The aim of this paper is to give an explicit formula for the SL 2(C)-twisted Reidemeister torsion in the case of twist knots. For hyperbolic twist knots, we also prove that the twisted Reidemeister torsion at the holonomy representation can be expressed as a rational function evaluated at the cusp shape of the knot. Tables giving approximations of the twisted Reidemeister torsion for ...

Notes on the Reidemeister Torsion