Guts of nearly fibered knots
Geometric Topology
2026-05-06 v3
Abstract
The guts of a knot is an invariant defined for the knot complement by Agol-Zhang. Nearly fibered knots, which are defined as knots whose Floer homology has dimension two in the top Alexander grading, were introduced by Baldwin-Sivek. In this note, we provide three models for the guts of nearly fibered knots in the -sphere. As a corollary, the nearly fibered condition can be purely topologically characterized and is independent of the specific version of Floer theory.
Keywords
Cite
@article{arxiv.2208.05382,
title = {Guts of nearly fibered knots},
author = {Zhenkun Li and Fan Ye},
journal= {arXiv preprint arXiv:2208.05382},
year = {2026}
}
Comments
v3, 8 pages: accepted version, to appear in Algebraic Geometry & Topology; comments are welcome