10 citations · 40 across the 20 of their papers we have counts for
22 papers
Instantaneous Hamiltonian displaceability and arbitrary symplectic squeezability for critically negligible sets
Yann Guggisberg, Fabian Ziltener
We call a metric space -negligible iff its -dimensional Hausdorff measure vanishes. We show that every countably -rectifiable subset of can be displaced…
Examples of non-target-representable symplectic capacities
Yann Guggisberg, Fabian Ziltener
We give the first concrete examples of symplectic capacities that are not target-representable. This provides some answers to a question by Cieliebak, Hofer, Latschev, and Schlenk.
Recognition of objects through symplectic capacities
Yann Guggisberg, Fabian Ziltener
We prove that the generalized symplectic capacities recognize objects in symplectic categories whose objects are of the form , such that is a compact and 1-connected ma…
Generating sets and representability for symplectic capacities
Dušan Joksimović, Fabian Ziltener
K. Cieliebak, H. Hofer, J. Latschev, and F. Schlenk (CHLS) posed the problem of finding a minimal generating set for the (symplectic) capacities on a given symplectic category. We…
A symplectic embedding of the cube with minimal sections and a question by Schlenk
Fabian Ziltener
I prove that the open unit cube can be symplectically embedded into a longer polydisc in such a way that the area of each section satisfies a sharp bound and the complement of each…
Classification of momentum proper exact Hamiltonian group actions and the equivariant Eliashberg cotangent bundle conjecture
Fabian Ziltener
Let be a compact and connected Lie group. The Hamiltonian -model functor maps the category of symplectic representations of closed subgroups of to the category of exact…