Curves intersecting in a circuit pattern
Geometric Topology
2023-04-27 v3
Abstract
We show that the cycle relation between Dehn twists about curves in a circuit detects whether the circuit bounds an embedded disc. This is done by determining the isomorphism type of the group generated by said Dehn twists for various surfaces.
Cite
@article{arxiv.2205.03616,
title = {Curves intersecting in a circuit pattern},
author = {Levi Ryffel},
journal= {arXiv preprint arXiv:2205.03616},
year = {2023}
}
Comments
15 pages, 11 figures. Version accepted for publication in TAIA