Entropy on Riemann Surfaces and the Jacobians of Finite Covers

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Entropy on Riemann Surfaces and the Jacobians of Finite Covers

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Title: Entropy on Riemann Surfaces and the Jacobians of Finite Covers
Author: McMullen, Curtis T.
Citation: McMullen, Curtis T. Forthcoming. Entropy on Riemann surfaces and the Jacobians of finite covers. Commentarii Mathematici Helvetici.
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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.
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:9918807

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  • FAS Scholarly Articles [6885]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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