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math.SG2026
Lagrangian slice disks with symplectomorphic exteriors
Joseph Breen
By modifying a construction of Abe and Tange, we exhibit arbitrarily large families of Lagrangian slice disks with Weinstein deformation equivalent exteriors. This answers a Lagran…
math.SG2024
Bypass moves in convex hypersurface theory
Joseph Breen, Austin Christian
We construct bypass attachments in higher dimensional contact manifolds that, when attached to a neighborhood of a Weinstein hypersurface, yield a neighborhood of a new Weinstein h…
math.SG2019
Morse-Smale characteristic foliations and convexity in contact manifolds
Joseph Breen
We generalize a result of Giroux which says that a closed surface in a contact -manifold with Morse-Smale characteristic foliation is convex. Specifically, we show that the resu…