Entropy on Riemann Surfaces and the Jacobians of Finite Covers
| 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. |
| Full Text & Related Files: |
entropy_on_riemann_surfaces.pdf (147.0Kb; PDF) 
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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. |
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| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:9918807 |
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