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arXiv · 2608.13375

Moduli of super-representations of quivers

Sanjay Amrutiya·Umesh Dubey
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Abstract

In this note, we construct moduli spaces of super-representations of quivers by extending King's Geometric Invariant Theory (GIT) framework to the super setting. Using the even part of super general linear groups and a parity-shifting operator, we construct moduli spaces that topologically parameterize super-representations of a fixed super-dimension. We also outline the construction of super quiver varieties for super-representations of framed quivers (without doubling); and realise super-Grassmannians and super-flag varieties as geometric quotients within this setting.

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BibTeXRIS

Sanjay Amrutiya, Umesh Dubey. 2026-08-13. Moduli of super-representations of quivers. https://arxiv.org/abs/2608.13375

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