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• W3098827734 abstract "We construct taut foliations in every closed 3-manifold obtained by $r$-framed Dehn surgery along a positive 3-braid knot $K$ in $S^3$, where $r < 2g(K)-1$ and $g(K)$ denotes the Seifert genus of $K$. This confirms a prediction of the L-space Conjecture. For instance, we produce taut foliations in every non-L-space obtained by surgery along the pretzel knot $P(-2,3,7)$, and indeed along every pretzel knot $P(-2,3,q)$, for $q$ a positive odd integer. This is the first construction of taut foliations for every non-L-space obtained by surgery along an infinite family of hyperbolic L-space knots. Additionally, we construct taut foliations in every closed 3-manifold obtained by $r$-framed Dehn surgery along a positive 1-bridge braid in $S^3$, where $r <g(K)$." @default.
• W3098827734 created "2020-11-23" @default.
• W3098827734 creator A5061546219 @default.
• W3098827734 date "2020-05-02" @default.
• W3098827734 modified "2023-10-16" @default.
• W3098827734 title "Taut foliations, positive 3‐braids, and the L‐space conjecture" @default.
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• W3098827734 doi "https://doi.org/10.1112/topo.12147" @default.
• W3098827734 hasPublicationYear "2020" @default.
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