4 problems

Let $(M,Z,\alpha)$ be a compact $b^m$-contact manifold, with critical set $Z$. A singular periodic orbit is an integral curve of the Reeb $b$-vector field in $M\setminus Z$ whose l…

Let $(M,\omega)$ be a symplectic manifold, and let $\alpha_0,\alpha_\infty\in H_*(M)$ be homology classes. A hypersurface $S\subset M$ is separating the homology classes $\alpha_0$…

Let $(M_\alpha,\eta^\alpha)$, for $\alpha=1,\ldots,k$, be a family of compact contact manifolds, and set … Here $\eta^\alpha$ denotes both the contact form on $M_\alpha$ and its na…

Let $M$ be an eventually singular contact manifold, and let $Z$ denote its critical set. An orbit in $M\setminus Z$ is quasi-closed if it is either closed or its $\alpha$- and…