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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

Rights: Copyright © 2008 Mathematical Society of Japan

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