6 problems

Conifold Gap property for $K_{\mathbb{P}^2}$. For $g \in \mathbb{Z}_{\geq 2}$, near $t_{\rm CF}=0$,

K-theoretic computation conjecture.

Let $S$ be one of the surfaces listed below, let $L_1$ and $L_2$ be the indicated line bundles, and let $X=\operatorname{Tot}_S(L_1\oplus L_2)$. For Hirzebruch surfaces, write…

Let $K_{\mathbb P^2}$ carry its natural real structure, with real locus $K_{\mathbb P^2}^{\mathbb R}$ restricting to $\mathbb R\mathbb P^2$. For each positive integer $d$, let…

The resulting invariants are the log BPS invariants $m^P_\beta$ and $m^{tot}_\beta$ associated with a log Calabi-Yau surface $(S,E)$, while $\operatorname{Tot}(K_S)$ denotes the to…

Let $Z_{\mathbb F_0}(N,\hbar)$ denote the fermionic spectral traces associated with the local Calabi–Yau threefold $\mathbb F_0$, and let $J(\mu,m_{\mathbb F_0},\hbar)$ be its modi…