11 citations · 11 across the 2 of their papers we have counts for
4 papers
Differential algebra of cubic planar graphs
Roger Casals, Emmy Murphy
In this article we associate a combinatorial differential graded algebra to a cubic planar graph G. This algebra is defined combinatorially by counting binary sequences, which we i…
Amenable groups and smooth topology of 4-manifolds
Michael Freedman, Larry Guth, Emmy Murphy
A smooth five-dimensional s-cobordism becomes a smooth product if stabilized by a finite number n of 's. We show that for amenable fundamental groups, the minimal n…
Closed exact Lagrangians in the symplectization of contact manifolds
Emmy Murphy
For a certain class of exotic contact manifolds of dimension greater than 3, we show that there is an abundance of closed exact Lagrangians in their symplectization. All of these L…
Lagrangian caps
Yakov Eliashberg, Emmy Murphy
We establish an -principle for exact Lagrangian embeddings with concave Legendrian boundary. We prove, in particular, that in the complement of the unit ball in the standard…