activity
20132019
most citedClosed exact Lagrangians in the symplectization of contact manifolds

11 citations · 11 across the 3 of their papers we have counts for

collaborators
Showing math.SGShow all

3 papers · 1 filter

math.SG2019

Arboreal singularities and loose Legendrians I

Emmy Murphy

Arboreal singularities are an important class of Lagrangian singularities. They are conical, meaning that they can be understood by studying their links, which are singular Legendr…

math.SG2013★ 11 cited

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…

math.SG2013

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…