4 papers · 1 filter
A remark on deformation of Gromov non-squeezing
Yasha Savelyev
Let be as in the classical Gromov non-squeezing theorem, and let . We first conjecture that the Gromov non-squeezing phenomenon persists…
Global Fukaya category II: applications
Yasha Savelyev
To paraphrase, part I constructs a bundle of categories given the input of a Hamiltonian fibration over a smooth manifold. Here we show that this bundle is generally…
Strict contactomorphisms are scarce
Yong-Geun Oh, Yasha Savelyev
The notion of non-projectible contact forms on a given compact manifold is introduced by the first-named author in [Ohb], the set of which he also shows is a residual subset of…
Quantum Maslov classes
Yasha Savelyev
We give a construction of ``quantum Maslov characteristic classes'', generalizing to higher dimensional cycles the Hu-Lalonde-Seidel morphism. We also state a conjecture extending…