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Signature of surface bundles and bounded cohomology (2011.05792v1)
Published 11 Nov 2020 in math.GT
Abstract: Extending a result of Morita, we show that all tautological classes of the moduli space of genus g curves are bounded. As an application, we obtain that for a surface bundle $E\to B$ over a closed surface, the Eulder characteristic $\chi(E)$ and the signature $\sigma(E)$ are related by $\vert 3 \sigma(E)\vert \leq \vert \chi(E)\vert$.
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