2006 Volume 58 Issue 1 Pages 123-127
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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