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| Hyperbolic Mapping Classes and Their Lifts on the Bers Fiber Space |
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Citation： |
Chaohui ZHANG.Hyperbolic Mapping Classes and Their Lifts on the Bers Fiber Space[J].Chinese Annals of Mathematics B,2007,28(1):55~66 |
| Page view： 1160
Net amount： 865 |
Authors： |
Chaohui ZHANG; |
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| Abstract： |
Let S be a Riemann surface with genus p and n punctures. Assume that 3p?3+n > 0 and $n\geq 1$. Let $a$ be a puncture of S and let $\wt{S}=S\cup \{a\}$. Then all mapping classes in the mapping class group Mod_S that fixes the puncture $a$ can be projected to mapping classes of Mod$_{\wt{S}}$ under the forgetful map. In this paper the author studies the mapping classes in ModS that can be projected to a given hyperbolic mapping class in Mod$_{\wt{S}}$ |
Keywords： |
Riemann surfaces, Absolutely extremal Teichm¨uller mapping, Mapping classes, Teichm¨uller spaces, Bers fiber spaces |
Classification： |
30F40, 32G05 |
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