A note on von Neumann rho-invariant of surface bundles over the circle

摘要

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.