5 problems

Unobstructedness conjecture. The function $c_b(z)$ is unobstructed for $z<z_[\infty^b$ if and only if $b=m/d$ for some $(d;m;p,q)\in (H)$.

Higher special-point obstruction conjecture. For $i>1$, $c_{H_b}$ has no descending staircase. Furthermore, there exists $\varepsilon>0$ such that, for

Hutchings's Ruelle-invariant conjecture. If $(X,\omega)$ is generic, then

Let $X$ be a nice star-shaped domain in ${\mathbb R}^4$. Write $e_k(X)$ for the error term in the asymptotic formula recovering the volume of $X$ from its ECH capacities, and let…

Weight-gcd conjecture. If