Length of Filling Pairs on Punctured Surface
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916386298658816 |
|---|---|
| author | Saha, Bhola Nath Sanki, Bidyut |
| author_facet | Saha, Bhola Nath Sanki, Bidyut |
| contents | A pair $(α, β)$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05483 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Length of Filling Pairs on Punctured Surface Saha, Bhola Nath Sanki, Bidyut Geometric Topology 2020 Mathematics Subject Classification. Primary 57M50, Secondary 57M15, 05C10 A pair $(α, β)$ 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. |
| title | Length of Filling Pairs on Punctured Surface |
| topic | Geometric Topology 2020 Mathematics Subject Classification. Primary 57M50, Secondary 57M15, 05C10 |
| url | https://arxiv.org/abs/2409.05483 |