PreprintarXiv licencearXiv
Quivers variety for affine orthogonal quiver
Abstract
We study quiver varieties associated with orthogonal quivers and determine the Kleinian surface singularities arising from affine Dynkin types. In the classical setting, affine Dynkin quivers play a distinguished role through Kronheimer's construction of Kleinian singularities and its reformulation by Nakajima in terms of quiver varieties. Using a graphical calculus in the preprojective algebra of the quiver, we determine which Kleinian surface singularities arise from orthogonal quivers whose underlying graph is an affine Dynkin diagram.
Related
- Series of Fano quiver moduli from extended Dynkin quivers
- Constructing the Monopole Formula for A-Type Good Quivers via Quiver Yangians
- Quivers with Involutions and Shifted affine iQuantum groups via Coulomb Branches
- Borel subgroups of the automorphism group of an affine variety
- The space of polarized compactifications of an affine variety
BibTeX
@misc{pinot2026quivers,
title = {{Quivers variety for affine orthogonal quiver}},
author = {Victor Pinot},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39434},
eprint = {2609.39434},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39434},
}
RIS
TY - UNPB
TI - Quivers variety for affine orthogonal quiver
AU - Victor Pinot
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39434
UR - https://arxiv.org/abs/2609.39434
AB - We study quiver varieties associated with orthogonal quivers and determine the Kleinian surface singularities arising from affine Dynkin types. In the classical setting, affine Dynkin quivers play a distinguished role through Kronheimer's construction of Kleinian singularities and its reformulation by Nakajima in terms of quiver varieties. Using a graphical calculus in the preprojective algebra of the quiver, we determine which Kleinian surface singularities arise from orthogonal quivers whose underlying graph is an affine Dynkin diagram.
ER -