Open AccessEntropy on Riemann surfaces and the Jacobians of finite covers
Author(s) -
Curtis T. McMullen
Publication year - 2013
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/308
Subject(s) - mathematics , riemann surface , pure mathematics , riemann hypothesis , entropy (arrow of time) , quantum mechanics , physics
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 Mg → Ah, which sends a Riemann surface to the Jacobians of all of its finite covers, is a contraction in most directions.
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