3 papers
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.GT2025
Quasipositive fiber surfaces are not well-quasi-ordered
Joseph Breen, Michele Capovilla-Searle
By exhibiting an explicit infinite anti-chain, we show that the class of quasipositive fiber surfaces in is not well-quasi-ordered under the surface minor relation. This answ…
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…