318 citations · 441 across the 12 of their papers we have counts for
15 papers
A stable homotopy invariant for Legendrians with generating families
Hiro Lee Tanaka, Lisa Traynor
We construct a stable homotopy type invariant for any Legendrian submanifold in a jet bundle equipped with a linear-at-infinity generating family. We show that this spectrum lifts…
Obstructions to reversing Lagrangian surgery in Lagrangian fillings
Orsola Capovilla-Searle, Noémie Legout, Maÿlis Limouzineau +3
Given an immersed, Maslov-, exact Lagrangian filling of a Legendrian knot, if the filling has a vanishing index and action double point, then through Lagrangian surgery it is po…
Legendrian Torus and Cable Links
Jennifer Dalton, John B. Etnyre, Lisa Traynor
We give a classification of Legendrian torus links. Along the way, we give the first classification of infinite families of Legendrian links where some smooth symmetries of the lin…
Constructions of Lagrangian cobordisms
Sarah Blackwell, Noémie Legout, Caitlin Leverson +6
Lagrangian cobordisms between Legendrian knots arise in Symplectic Field Theory and impose an interesting and not well-understood relation on Legendrian knots. There are some known…
Functors and Computations in Floer homology with Applications Part II
C Viterbo
The results in this paper concern computations of Floer cohomology using generating functions. The first part proves the isomorphism between Floer cohomology and Generating functio…
The Minimal Length of a Lagrangian Cobordism between Legendrians
Joshua M. Sabloff, Lisa Traynor
To investigate the rigidity and flexibility of Lagrangian cobordisms between Legendrian submanifolds, we investigate the minimal length of such a cobordism, which is a -dimensio…