Non UBC
DSpace
Siddhi Krishna
2019-12-17T09:38:03Z
2019-06-19T11:02
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.
https://circle.library.ubc.ca/rest/handle/2429/72800?expand=metadata
47.0 minutes
video/mp4
Author affiliation: Boston College
Oaxaca (Mexico : State)
10.14288/1.0387161
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Graduate
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Algebraic Topology, Dynamical Systems And Ergodic Theory
Taut Foliations, Positive 3-Braids, and the L-Space Conjecture
Moving Image
http://hdl.handle.net/2429/72800