论文标题

双曲线表面的通用旋转集

Generic Rotation Sets in Hyperbolic Surfaces

论文作者

Alonso, J., Brum, J., Passeggi, A.

论文摘要

我们表明,对于在封闭的属性表面$ g> 1 $中与身份的普通同态同态同态同型,旋转集由最多$ 2^{5G-3} $凸的结合给出。提供了显示该渐近顺序清晰度的示例。

We show that for generic homeomorphisms homotopic to the identity in a closed and oriented surface of genus $g>1$, the rotation set is given by a union of at most $2^{5g-3}$ convex sets. Examples showing the sharpness for this asymptotic order are provided.

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