3 problems

Let $M$ be a globally orderable manifold equipped with a continuous solid cone field, so that its conal order is a partial order. For a point $x\in M$, let $\omega(x)$ denote the…

Let $(M,\xi)$ be a closed orderable contact manifold, meaning that it admits no positive contractible loop of contactomorphisms. Let $\alpha$ be any contact form supporting $\xi$,…

Let $M$ be an irreducible orientable rational homology $3$-sphere. An $L$-space is a rational homology $3$-sphere whose hat-version Heegaard Floer homology has rank…