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Reflection functors for non-simply-laced quiver varieties
Abstract
We prove the braid relations between reflection functors on non-simply-laced analogues of Nakajima quiver varieties, which are defined as critical loci of certain quivers with potential. We extend this framework to categories of matrix factorizations and critical K-theory.
Related
- Representations of shifted quantum affine algebras and cluster algebras II: Non simply-laced types and cluster expansions
- Equivalence of categories of bivariant K-theory for C*-algebras over topological spaces via reflection functors
- Flag Varieties of General Quiver Representations: Characteristic Classes and Semi-Invariants
- The center conjecture for cyclotomic Hecke algebras and cohomology of quiver varieties
- Projective Lifting Theorem, Complex Reflection Groups, and Quasi-Galois Points for Fermat Varieties
BibTeX
@misc{neguţ2026reflection,
title = {{Reflection functors for non-simply-laced quiver varieties}},
author = {Andrei Neguţ},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30065},
eprint = {2610.30065},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30065},
}
RIS
TY - UNPB
TI - Reflection functors for non-simply-laced quiver varieties
AU - Andrei Neguţ
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.30065
UR - https://arxiv.org/abs/2610.30065
AB - We prove the braid relations between reflection functors on non-simply-laced analogues of Nakajima quiver varieties, which are defined as critical loci of certain quivers with potential. We extend this framework to categories of matrix factorizations and critical K-theory.
ER -