The next-to-top term of the knot Floer homology of some non-fibered knots

Fraser Binns; Shunyu Wan

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arXiv · 2608.03900

The next-to-top term of the knot Floer homology of some non-fibered knots

Fraser Binns·Shunyu Wan

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Abstract

Sivek conjectured that the rank of knot Floer homology in the next-to-top Alexander grading is at least the rank in the top Alexander grading. Baldwin and Vela-Vick verified this conjecture in the case of fibered knots arXiv:1801.06563. Ni gave a generalization of this result (for knots in generalized $L$-spaces) to cases in which the knot Floer homology satisfies an algebraic condition arXiv:2104.14687. We give an independent generalization of Baldwin and Vela-Vick's result to a family of knots with Seifert surfaces satisfying certain conditions.

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BibTeX RIS

Fraser Binns, Shunyu Wan. 2026-08-04. The next-to-top term of the knot Floer homology of some non-fibered knots. https://arxiv.org/abs/2608.03900

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