arXiv Open Access 2026

An algorithm for Seifert surfaces in 3-manifolds via surgery presentations

Geunyoung Kim
Lihat Sumber

Abstrak

The classical Seifert algorithm provides an explicit construction of a Seifert surface for any link in $S^3$. Alegria and Menasco extended this construction to integral homology $3$-spheres using Heegaard splittings. In this paper, we extend the Seifert algorithm to null-homologous links in arbitrary $3$-manifolds via surgery on framed links in $S^3$.

Topik & Kata Kunci

Penulis (1)

G

Geunyoung Kim

Format Sitasi

Kim, G. (2026). An algorithm for Seifert surfaces in 3-manifolds via surgery presentations. https://arxiv.org/abs/2602.20441

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2026
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓