Yann Guggisberg

collaborators

3 papers

math.SG2024

Instantaneous Hamiltonian displaceability and arbitrary symplectic squeezability for critically negligible sets

Yann Guggisberg, Fabian Ziltener

We call a metric space $s$ -negligible iff its $s$ -dimensional Hausdorff measure vanishes. We show that every countably $m$ -rectifiable subset of $R^{2 n}$ can be displaced…

math.SG2022

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.

math.SG2022

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 $(M, ω)$ , such that $M$ is a compact and 1-connected ma…