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Positive braid closures and taut foliations
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Paper
Positive braid closures and taut foliations
2026
Overview
We study taut foliations on the complements of non-split positive braid closures in \\(S^3\\). If \\(L\\) is such a link with components \\(L_1,\\ldots,L_n\\) and at least one component is not the unknot, then the Dehn surgery along a multislope \\((s_1,\\ldots,s_n)\\in\\mathbb{Q}^n\\) satisfying \\(s_i<2g(L_i)-1\\) for \\(i=1,2,\\ldots, n\\) yields a non-L-space that admits a co-oriented taut foliation.
Publisher
Cornell University Library, arXiv.org
Subject
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