Tohoku Mathematical Journal
2006
March
SECOND SERIES VOL. 58, NO. 1

Tohoku Math. J.
58 (2006), 123-127

Title A NOTE ON VON NEUMANN RHO-INVARIANT OF SURFACE BUNDLES OVER THE CIRCLE

Author Takayuki Morifuji

(Received March 8, 2004, revised August 6, 2004)
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.

2000 Mathematics Subject Classification. Primary 57M27; Secondary 57R20.
Key words and phrases. von Neumann rho-invariant, Morita-Mumford class, Rochlin invariant, bounded cohomology.

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