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SURFACE BUNDLES OVER SURFACES WITH A FIXED SIGNATURE

SURFACE BUNDLES OVER SURFACES WITH A FIXED SIGNATURE

The signature of a surface bundle over a surface is known to be divisible by 4. It is also known that the signature vanishes if the fiber genus <TEX>${\leq}2$</TEX> or the base genus <TEX>${\leq}1$</TEX>. In this article, we construct new smooth 4-manifolds with signature 4 which are surface bundles over …