Length of Filling Pairs on Punctured Surface

Bhola Nath Saha; Bidyut Sanki

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arXiv · 2409.05483

Length of Filling Pairs on Punctured Surface

Bhola Nath Saha·Bidyut Sanki

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Abstract

A pair $(\alpha, \beta)$ of simple closed curves on a surface $S_{g,n}$ of genus $g$ and with $n$ punctures is called a filling pair if the complement of the union of the curves is a disjoint union of topological disks and once punctured disks. In this article, we study the length of filling pairs on once-punctured hyperbolic surfaces. In particular, we find a lower bound of the length of filling pairs which depends only on the topology of the surface.

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BibTeX RIS

Bhola Nath Saha, Bidyut Sanki. 2024-09-09. Length of Filling Pairs on Punctured Surface. https://arxiv.org/abs/2409.05483

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