Classification of genus-two surfaces in $S^3$
Geometric Topology
2025-11-26 v1
Abstract
We describe an algorithm to decide whether two genus-two surfaces embedded in the 3-sphere are isotopic or not. The algorithm employs well-known techniques in 3-manifolds topology, as well as a new algorithmic solution to a problem on free groups.
Cite
@article{arxiv.2309.05387,
title = {Classification of genus-two surfaces in $S^3$},
author = {Filippo Baroni},
journal= {arXiv preprint arXiv:2309.05387},
year = {2025}
}
Comments
65 pages, 22 figures