English

Minimal genus Seifert surfaces for alternating links

Geometric Topology 2026-01-09 v2

Abstract

We give a complete proof of results announced by Hirasawa and Sakuma describing explicitly the Kakimizu complex of a non-split, prime, special, alternating link.

Cite

@article{arxiv.1106.3180,
  title  = {Minimal genus Seifert surfaces for alternating links},
  author = {Jessica E. Banks},
  journal= {arXiv preprint arXiv:1106.3180},
  year   = {2026}
}

Comments

49 pages, 56 figures; v2 has several improvements and corrections, particularly to the proof of Proposition 5.23

R2 v1 2026-06-21T18:23:15.993Z