4 problems

Let $W$ be an irreducible rational homology $3$-sphere that is not a lens space. Ba and Clay's conjecture. The following statements are equivalent: 1. The fundamental group of $W$…

Let $W$ be a rational homology sphere graph manifold. Circular orderability conjecture. If $\pi_1(W)$ is infinite, then $\pi_1(W)$ is circularly orderable. The conjecture isolates…

Let $M$ be an irreducible, rational homology $3$-sphere that is not a lens space. Circular orderability version of the L-space conjecture. The following are equivalent: 1. The fund…

Let $W$ be a graph manifold. Circular orderability conjecture. If $\pi_1(W)$ is infinite, then $\pi_1(W)$ is circularly orderable. This conjecture proposes extending the techniques…