Guts of nearly fibered knots

Zhenkun Li; Fan Ye

doi:10.2140/agt.2026.26.1385

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arXiv · 2208.05382

Guts of nearly fibered knots

Zhenkun Li·Fan Ye

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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 $3$-sphere. As a corollary, the nearly fibered condition can be purely topologically characterized and is independent of the specific version of Floer theory.

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Zhenkun Li, Fan Ye. 2022-08-10. Guts of nearly fibered knots. https://doi.org/10.2140/agt.2026.26.1385

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