2 citations · 2 across the 8 of their papers we have counts for
7 papers · 1 filter
Derivative links in contact topology
Joseph Breen, Alexander Zupan
We import the theory of -links and derivative links into contact topology in both the Legendrian and transverse setting. This framework is used to characterize various forms of…
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…
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…
Folded symplectic forms in contact topology
Joseph Breen
We establish the relationship between folded symplectic forms and convex hypersurface theory in contact topology. As an application, we use convex hypersurface theory to reprove an…
The Giroux correspondence in arbitrary dimensions
Joseph Breen, Ko Honda, Yang Huang
We establish the Giroux correspondence in arbitrary dimensions. As corollaries we (i) give an alternate proof of a result of Giroux-Pardon that states that any Weinstein domain is…
Torus bundle Liouville domains are stably Weinstein
Joseph Breen, Austin Christian
We develop explicit local operations that may be applied to Liouville domains, with the goal of simplifying the dynamics of the Liouville vector field. These local operations, whic…
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…