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Quiver description of bow varieties in general type

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arxiv 2407.19267 v2 pith:RVKVZ6ZM submitted 2024-07-27 math.RT hep-thmath.AG

Tiziano Gaibisso This is my paper · ORCID
classification math.RThep-thmath.AG
keywords quivervarietiesdescriptioncherkisconstructiondiscusstypeappendix
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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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  1. Supersymmetry for brane diagrams and bow varieties

    math.RT 2025-04 conditional novelty 8.0 of 10

    For affine type A bow diagrams, non-emptiness of the associated bow variety is equivalent to supersymmetry of the corresponding brane diagram, which can be checked by a finite set of inequalities.

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