5 problems

GLSM–Gromov–Witten correspondence conjecture. There is an element $\mathfrak c\in H_{\it CR}^*(\bar X_W;\Lambda_+)$ such that

Let $X_{\beta}$ be the phase associated with a VGIT parameter $\beta \in L^{\vee}_{\mathbb{R}}$, and let FIPS denote the Fayet–Iliopoulos parameter space of the corresponding gauge…

Let $\bar{X}_W$ be the symplectic reduction in the geometric phase, let $H_{\rm CR}^*(\bar{X}_W;\Lambda)$ denote its Chen–Ruan cohomology, and let…

Let $G$ act on a $G$-space $V$, and let $W\subset V$ be the zero locus of $G$-semi-invariant polynomials $f_i$, for $i=1,\ldots,r$. For $P\in\mathbb{C}[\mathfrak{t}]^{\mathcal{W}}$…

Smoothness conjecture. If a gauged linear $\sigma$-model is defined by pointsets ${\Scr A}$ and ${\Scr B}$ which are both ${\Scr A}$-complete and ${\Scr B}$-complete, then this mod…