5 problems

For each degree $d$, let $\mathbf{T}_{d}^{a}$ denote the count associated with the ellipsoidal superpotential for $\CP^2$ with parameter $a>1$. Monotonicity conjecture. The count…

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

Let $d$ be an integer and let $p/q>1$ be a reduced fraction. The count $\mathbf{T}_{d}^{p/q}$ is the index-zero finite-energy holomorphic-plane count associated with degree $d$ cur…

Let $X$ be a rational member of the class of manifolds studied by Cristofaro-Gardiner, Holm, Mandini, and Pires, which generalizes finite toric blowups of $\mathbb{CP}^2$ and…

Let $H_b:=\mathbb{C}P^2_1\#\overline{\mathbb{C}P}\!\,^2_b$ be the one-fold blow-up of $\mathbb{C}P^2$, with line area $1$ and exceptional divisor area $0\leq b<1$. For $z\geq 1$, d…