Curves on surfaces and surgeries
Geometric Topology
2019-10-28 v2 Combinatorics
Abstract
We study collections of curves in generic position on a closed surface whose complement consists of one disk only, up to orientation-preserving homeomorphism of the surface. We define a surgery operation on the set of such collections and prove that any two of them can be connected by a sequence of such surgeries.
Keywords
Cite
@article{arxiv.1902.06436,
title = {Curves on surfaces and surgeries},
author = {Abdoul Karim Sane and Abdoul Sane},
journal= {arXiv preprint arXiv:1902.06436},
year = {2019}
}