# Entropy on Riemann Surfaces and the Jacobians of Finite Covers

 dc.contributor.author McMullen, Curtis T. dc.date.accessioned 2012-11-16T15:51:36Z dc.date.issued 2012-11-16 dc.identifier.citation McMullen, Curtis T. Forthcoming. Entropy on Riemann surfaces and the Jacobians of finite covers. Commentarii Mathematici Helvetici. en_US dc.identifier.issn 0010-2571 en_US dc.identifier.issn 1420-8946 en_US dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:9918807 dc.description.abstract This paper characterizes those pseudo-Anosov mappings whose entropy can be detected homologically by taking a limit over finite covers. The proof is via complex-analytic methods. The same methods show the natural map $$\mathcal{M}_g \rightarrow \prod \mathcal{A}_h$$, which sends a Riemann surface to the Jacobians of all of its finite covers, is a contraction in most directions. en_US dc.description.sponsorship Mathematics en_US dc.language.iso en_US en_US dc.publisher European Mathematical Society en_US dash.license OAP dc.title Entropy on Riemann Surfaces and the Jacobians of Finite Covers en_US dc.type Journal Article en_US dc.description.version Author's Original en_US dc.relation.journal Commentarii Mathematici Helvetici en_US dash.depositing.author McMullen, Curtis T. dc.date.available 2012-11-16T15:51:36Z

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