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PreprintarXiv licencearXiv

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.

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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  -