"Non UBC"@en .
"DSpace"@en .
"Siddhi Krishna"@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 .
"Oaxaca (Mexico : State)"@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 (Mexico : State))"@en .
"Mathematics"@en .
"Algebraic Topology, 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 .