25 citations · 25 across the 3 of their papers we have counts for
4 papers
Shortening the Hofer length of Hamiltonian circle actions
Yael Karshon, Jennifer Slimowitz
A Hamiltonian circle action on a compact symplectic manifold is known to be a closed geodesic with respect to the Hofer metric on the group of Hamiltonian diffeomorphisms. If the m…
Hofer-Zehnder capacity and length minimizing Hamiltonian paths
Dusa McDuff, Jennifer Slimowitz
We use the criteria of Lalonde and McDuff to show that a path that is generated by a generic autonomous Hamiltonian is length minimizing with respect to the Hofer norm among all ho…
Hofer-Zehnder capacity and length minimizing paths in the Hofer norm
Jennifer Slimowitz
We use the criteria of Lalonde and McDuff to determine a new class of examples of length minimizing paths in the group . For a compact symplectic manifold of dimension…
The Positive Fundamental Group of Sp(2) and Sp(4)
Jennifer Slimowitz
In this paper, we examine the homotopy classes of positive loops in Sp(2) and Sp(4). We show that two positive loops are homotopic if and only if they are homotopic through positiv…