A standard form of incompressible surfaces in 3-dimensional handlebodies
Geometric Topology
2022-12-13 v1
Abstract
Applying Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our standard form. Our algorithm is practical. Several examples are given to test the algorithm.
Keywords
Cite
@article{arxiv.2212.05769,
title = {A standard form of incompressible surfaces in 3-dimensional handlebodies},
author = {Wei Lin and Fengchun Lei},
journal= {arXiv preprint arXiv:2212.05769},
year = {2022}
}
Comments
19 pages, 13 figures. Accepted for publication in SCIENCE CHINA Mathematics