5 problems

Twisted equivariant abelian/nonabelian correspondence. Let $\varphi:P'\to N'$ be the isomorphism of formal schemes over…

Equivariant abelian/nonabelian correspondence. Let $\varphi:P\longrightarrow N$ be the isomorphism of formal schemes over $N(X//{\bf G})\otimes{\mathbb C}[\lambda]$ defined by…

The abelian/nonabelian quantum-product conjecture. There is an equality

Let $G$ be a reductive group acting on a vector space, let $T$ be a maximal torus with Weyl group $W$, and write $Y=V//T$ and $X=V//G$. Let $L_r$ be the bundle on $Y$ associated to…

The abelian-nonabelian correspondence relates Gromov-Witten invariants of a GIT quotient by a reductive group to those of the quotient by a maximal torus. Hori and Vafa observed th…