Fabian Ziltener

activity

20122022

most citedOn the strict Arnold chord property and coisotropic submanifolds of complex projective space

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

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.SG2014★ 1 cited

On the strict Arnold chord property and coisotropic submanifolds of complex projective space

Fabian Ziltener

Let $α$ be a contact form on a manifold $M$ , and $L \subseteq M$ a closed Legendrian submanifold. I prove that $L$ intersects some characteristic for $α$ at least twice if all chara…

math.SG2012

A Symplectically Non-Squeezable Small Set and the Regular Coisotropic Capacity

Jan Swoboda, Fabian Ziltener

We prove that for $n \geq 2$ there exists a compact subset $X$ of the closed ball in $R^{2 n}$ of radius $2$ , such that $X$ has Hausdorff dimension $n$ and does not symplectica…