4 papers · 1 filter
Dynamical extensions of Zoll to nonsmooth convex bodies
Pazit Haim-Kislev
The symplectic Zoll property of smooth convex domains in the classical phase space has been extensively studied in recent years and, in particular, has been shown to detect local m…
A Counterexample to Viterbo's Conjecture
Pazit Haim-Kislev, Yaron Ostrover
We present a counterexample to Viterbo's volume-capacity conjecture. This implies, in particular, that in contrast with a well-known conjecture, symplectic capacities do not coinci…
Quantitative Results on Symplectic Barriers
Pazit Haim-Kislev, Richard Hind, Yaron Ostrover
In this paper we present some quantitative results concerning symplectic barriers. In particular, we answer a question raised by Sackel, Song, Varolgunes, and Zhu regarding the sym…
Pseudo-holomorphic triangles and the median quasi-state
Pazit Haim-Kislev, Michael Khanevsky, Asaf Kislev +1
We prove that the minimal area of a holomorphic triangle whose boundary lies on the union of any three Lagrangian submanifolds is bounded from above by the Lagrangian spectral norm…