Quiver description of bow varieties in general type
Tiziano Gaibisso
TL;DR
This paper introduces a quiver-based framework for describing Cherkis bow varieties across all types, extending Nakajima quiver varieties, and explores their stability, smoothness, and deformation properties.
Contribution
It generalizes the quiver description of bow varieties to arbitrary types, connecting Cherkis' construction with Nakajima quiver varieties.
Findings
Provides criteria for stability and non-emptiness.
Establishes conditions for smoothness and deformations.
Links quiver descriptions to Cherkis' original construction.
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry