Exhaustion of the curve graph via rigid expansions

Jesús Hernández Hernández

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arXiv · 1611.08010

Exhaustion of the curve graph via rigid expansions

Jesús Hernández Hernández

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Abstract

For an orientable surface $S$ of finite topological type with genus $g \geq 3$, we construct a finite set of curves whose union of iterated rigid expansions is the curve graph of $S$. The set constructed, and the method of rigid expansion, are closely related to Aramayona and Leiniger's finite rigid set, and in fact a consequence of our proof is that Aramayona and Leininger's set also exhausts the curve graph via rigid expansions.

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Jesús Hernández Hernández. 2016-11-23. Exhaustion of the curve graph via rigid expansions. https://arxiv.org/abs/1611.08010

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