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

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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 a→0\boldsymbol{a}\to 0 denote the non-equivariant limit. Quiver-variety limit conjecture. The scaled limit

ℏdim⁡(X)/2lim⁡a→0∫XStab⁡(p)\hbar^{\dim(X)/2}\lim_{\boldsymbol{a}\to 0}\int_X\operatorname{Stab}(p)

exists. This extends the existence phenomenon for T∗Gr(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.

References

Primary source

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

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