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Quiver description of bow varieties in general type

Representation Theory 2025-09-03 v2 High Energy Physics - Theory Algebraic Geometry

Abstract

We provide a quiver description for Cherkis bow varieties in arbitrary type. We explain how this generalizes the construction of Nakajima quiver varieties. We give criteria for stability, non-emptiness, smoothness and discuss deformations. In the appendix, we discuss the relation between the quiver description and the original Cherkis' construction of bow varieties.

Keywords

Cite

@article{arxiv.2407.19267,
  title  = {Quiver description of bow varieties in general type},
  author = {Tiziano Gaibisso},
  journal= {arXiv preprint arXiv:2407.19267},
  year   = {2025}
}

Comments

45 pages. v2. Improved the theorem on deformation parameters and the discussion of emptiness conditions. Added a short discussion on Hanany--Witten transitions