Translator Disclaimer
VOL. 52 | 2008 $L^2$-torsion invariants and the Magnus representation of the mapping class group
Teruaki Kitano, Takayuki Morifuji

Editor(s) Robert Penner, Dieter Kotschick, Takashi Tsuboi, Nariya Kawazumi, Teruaki Kitano, Yoshihiko Mitsumatsu

## Abstract

In this paper, we study a series of $L^2$-torsion invariants from the viewpoint of the mapping class group of a surface. We establish some vanishing theorems for them. Moreover we explicitly calculate the first two invariants and compare them with hyperbolic volumes.

## Information

Published: 1 January 2008
First available in Project Euclid: 28 November 2018

zbMATH: 1169.58009
MathSciNet: MR2509704

Digital Object Identifier: 10.2969/aspm/05210031