2 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
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…
Small energy isotopies of loose Legendrian submanifolds
Lukas Nakamura
We prove that for a closed Legendrian submanifold of dimension with a loose chart of size , any Legendrian isotopy starting at can be -approximated by a…
-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…