Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
A NOTE ON VON NEUMANN RHO-INVARIANT OF SURFACE BUNDLES OVER THE CIRCLE
TAKAYUKI MORIFUJI
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2006 Volume 58 Issue 1 Pages 123-127

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Abstract

In this short note, we give a formula for the von Neumann rho-invariant of surface bundles over the circle $S^1$. As a corollary, we describe a relation among the von Neumann rho-invariant, the first Morita-Mumford class and the Rochlin invariant in a framework of the bounded cohomology.

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© 2006 by THE TOHOKU UNIVERSITY
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