无穷小Thurston刚性与Fatou-Shishikura不等式
Infinitesimal Thurston Rigidity and the Fatou-Shishikura Inequality
摘要:
我们证明了Fatou-Shishikura不等式的一个改进-有理映射的非排斥圈的总数小于或等于独立的无穷向前临界轨道的数目-从瑟斯顿刚性定理的一个适当的应用-亚纯二次微分空间上的$I-f_*$的内射性。
英文摘要:
We prove a refinement of the Fatou-Shishikura Inequality - that the total count of nonrepelling cycles of a rational map is less than or equal to the number of independent infinite forward critical orbits - from a suitable application of Thurston's Rigidity Theorem - the injectivity of $I-f_*$ on spaces of meromorphic quadratic differentials.
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