The guts of nearly fibered knots

Li, Zhenkun; Ye, Fan

doi:10.2140/agt.2026.26.1385

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The guts of nearly fibered knots

Zhenkun Li and Fan Ye

Algebraic & Geometric Topology 26 (2026) 1385–1393

DOI: 10.2140/agt.2026.26.1385

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. We provide three models for the guts of nearly fibered knots in the $3$ -sphere. As a corollary, the nearly fibered condition can be purely topologically characterized and is independent of the specific version of Floer theory.

Keywords

guts, nearly fibered, knots

Mathematical Subject Classification

Primary: 57K10, 57K18

References

Publication

Received: 11 August 2022

Revised: 29 December 2024

Accepted: 15 April 2025

Published: 25 April 2026

Authors

Zhenkun Li
Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China

Fan Ye
School of Mathematical Sciences Peking University Beijing China

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Volume 26, issue 4 (2026)