2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.SG2019
Splitting symplectic fillings
Austin Christian, Michael Menke
We generalize the mixed tori which appear in the second author's JSJ-type decomposition theorem for symplectic fillings of contact manifolds. Mixed tori are convex surfaces in cont…
math.SG2018★ 2 cited
A JSJ-type decomposition theorem for symplectic fillings
Austin Christian, Michael Menke
We establish a JSJ-type decomposition theorem for splitting exact symplectic fillings of contact 3-manifolds along \emph{mixed tori} -- these are convex tori satisfying a particula…
math.SG2015
On The Augmentation Categories of Positive Braid Closures
Michael Menke
In this paper we show that 0-resolution of a crossing in the Legendrian closure of a positive braid induces a cohomologically faithful functor on augmentation categories…