Namikawa-Weyl groups of affinizations of smooth Nakajima quiver varieties

TL;DR

This paper describes the Namikawa-Weyl group for affinizations of smooth Nakajima quiver varieties using combinatorial data, extending previous results to more general quiver types and providing explicit examples.

Contribution

It extends the understanding of Namikawa-Weyl groups to affinizations of smooth Nakajima quiver varieties beyond Dynkin quivers, using combinatorial methods.

Findings

Explicit description of Namikawa-Weyl groups for these varieties

Extension of McGerty and Nevins' results to broader quiver classes

Computed examples illustrating the theoretical results

Abstract

We give a description of the Namikawa-Weyl group of affinizations of smooth Nakajima quiver varieties using combinatorial data of the underlying quiver, and compute some explicit examples. This extends a result of McGerty and Nevins for quiver varieties coming from Dynkin quivers.