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VOL. 52 | 2008 Pontrjagin classes and higher torsion of sphere bundles
Kiyoshi Igusa

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

Abstract

By a classical result of Schafer and Kahn ([12], [6]), oriented topological sphere bundles have well defined rational Pontrjagin classes. In the smooth case, we show that the corresponding Pontrjagin character is proportional to the higher Franz-Reidemeister torsion invariant in each degree when the fiber is even dimensional and we discuss the relationship in the odd dimensional case.

Information

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

zbMATH: 1231.57025
MathSciNet: MR2509703

Digital Object Identifier: 10.2969/aspm/05210021

Rights: Copyright © 2008 Mathematical Society of Japan

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