4 problems

Let $n\geq 1$, let $p\in\mathbb{N}$ be odd, and let … be the corresponding lens space. Let $D_1L(p,1,\dots,1)$ denote its disk tangent bundle with symplectic form…

Let $L(p,q)$ be a lens space, and let $D_1L(p,q)$ denote its disk tangent bundle equipped with the symplectic form $\mathrm{d}\lambda$. Lens-space Hofer–Zehnder capacity conjecture…

Let $F\in C^\infty(\overline{\Omega_r})$ be a function whose restriction to each complete circle $C_s:=\{x:|x-\gamma(s)|=r\}$ is the restriction of a polynomial in two variables of…

Consider a billiard ball moving in a convex domain in the Euclidean plane, bounded by a piece-wise smooth curve and subject to a constant magnetic field. An integrable magnetic bil…