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Moduli of super-representations of quivers
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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BibTeX
@misc{amrutiya2026moduli,
title = {{Moduli of super-representations of quivers}},
author = {Sanjay Amrutiya and Umesh Dubey},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.13375},
eprint = {2608.13375},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.13375},
}
RIS
TY - UNPB
TI - Moduli of super-representations of quivers
AU - Sanjay Amrutiya
AU - Umesh Dubey
PY - 2026
DA - 2026/10/10
PB - arXiv
DO - 10.48550/arxiv.2608.13375
UR - https://arxiv.org/abs/2608.13375
AB - 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.
ER -