"Non UBC"@en . "DSpace"@en . "Krishna, Siddhi"@en . "2019-12-17T09:38:03Z"@en . "2019-06-19T11:02"@en . "The L-Space Conjecture is taking the low-dimensional topology community by storm. It aims to relate seemingly distinct Floer homological, algebraic, and geometric properties of a closed 3-manifold Y. In particular, it predicts a 3-manifold Y isn't \"simple\" from the perspective of Heegaard-Floer homology if and only if Y admits a taut foliation. The reverse implication was proved by Ozsvath and Szabo. In this talk, we'll present a new theorem supporting the forward implication. Namely, we'll build taut foliations for manifolds obtained by surgery on positive 3-braid closures. Our theorem provides the first construction of taut foliations for every non-L-space obtained by surgery along an infinite family of hyperbolic L-space knots. As an example, we'll construct taut foliations in every non-L-space obtained by surgery along the P(-2,3,7) pretzel knot."@en . "https://circle.library.ubc.ca/rest/handle/2429/72800?expand=metadata"@en . "47.0 minutes"@en . "video/mp4"@en . ""@en . "Author affiliation: Boston College"@en . "10.14288/1.0387161"@en . "eng"@en . "Unreviewed"@en . "Vancouver : University of British Columbia Library"@en . "Banff International Research Station for Mathematical Innovation and Discovery"@en . "Attribution-NonCommercial-NoDerivatives 4.0 International"@en . "http://creativecommons.org/licenses/by-nc-nd/4.0/"@en . "Graduate"@en . "BIRS Workshop Lecture Videos (Oaxaca de Ju\u00E1rez (Mexico))"@en . "Mathematics"@en . "Algebraic topology"@en . "Dynamical systems and ergodic theory"@en . "Taut Foliations, Positive 3-Braids, and the L-Space Conjecture"@en . "Moving Image"@en . "http://hdl.handle.net/2429/72800"@en .