2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.SG2023
A new metric on the contactomorphism group of orderable contact manifolds
Lukas Nakamura
We introduce a pseudo-metric on the contactomorphism group of any contact manifold with a cooriented contact structure . It is the contact analogue of a corresponding se…
math.SG2023
Legendrians with vanishing Shelukhin-Chekanov-Hofer metric
Lukas Nakamura
We show that the Legendrian lift of an exact, displaceable Lagrangian has vanishing Shelukhin-Chekanov-Hofer pseudo-metric by lifting an argument due to Sikorav to the contactizati…
math.SG2020★ 2 cited
-limits of Legendrian Submanifolds
Lukas Nakamura
Laudenbach and Sikorav proved that closed, half-dimensional non-Lagrangian submanifolds of symplectic manifolds are immediately displaceable as long as there is no topological obst…