Existence of non-equivariant stable-envelope integrals for type A quiver varieties

From papers

Let XX be a type A Nakajima quiver variety with its natural torus action, let pp be a T\mathsf{T}-fixed point, and let a0\boldsymbol{a}\to 0 denote the non-equivariant limit. Quiver-variety limit conjecture. The scaled limit

dim(X)/2lima0XStab(p)\hbar^{\dim(X)/2}\lim_{\boldsymbol{a}\to 0}\int_X\operatorname{Stab}(p)

exists. This extends the existence phenomenon for TGr(k,n)T^*Gr(k,n) to all type A Nakajima quiver varieties, while the paper gives bow-variety examples where the corresponding limit fails.

Progress summary

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Sources & referencesView supporting material

Primary source

Matthew Crawford, Pavan Kartik and Reese Lance, “Integrals of stable envelopes for cotangent bundles to Grassmannians”, arXiv:2510.21573 (2026).

Solutions 0

No solutions have been posted yet.