An algorithm for Seifert surfaces in 3-manifolds via surgery presentations
Geometric Topology
2026-02-25 v1
Abstract
The classical Seifert algorithm provides an explicit construction of a Seifert surface for any link in . Alegria and Menasco extended this construction to integral homology -spheres using Heegaard splittings. In this paper, we extend the Seifert algorithm to null-homologous links in arbitrary -manifolds via surgery on framed links in .
Keywords
Cite
@article{arxiv.2602.20441,
title = {An algorithm for Seifert surfaces in 3-manifolds via surgery presentations},
author = {Geunyoung Kim},
journal= {arXiv preprint arXiv:2602.20441},
year = {2026}
}
Comments
8 pages, 1 figure