From automorphisms of Riemann surfaces to smooth 4-manifolds
MATHEMATICAL RESEARCH LETTERS(2020)
Abstract
Starting from a suitable set of self-diffeomorphisms of a closed Riemann surface, we present a general branched covering method to construct surface bundles over surfaces with positive signature. Armed with this method, we study the classification problem for both surface bundles with nonzero signature and closed simply connected smooth spin 4-manifolds.
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Key words
riemann surfaces,automorphisms
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