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On fiber-preserving isotopies of surface homeomorphisms
Authors:Terry Fuller
Affiliation:School of Mathematics, Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540
Abstract:We show that there are homeomorphisms of closed oriented genus $g$ surfaces $Sigma_g$ which are fiber-preserving with respect to an irregular branched covering $Sigma_g to S^2$ and isotopic to the identity, but which are not fiber-isotopic to the identity.

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