Nakajima 簇变形的共形极限
代数几何
2026-05-13 v2 微分几何
几何拓扑
摘要
受Gaiotto关于Higgs束的共形极限构造启发，我们定义并研究了Nakajima簇变形的共形极限构造。我们证明了共形极限确实是指定簇变形中一参数族内点序列的极限，并且它给出两种不同簇变形中叶满射子流形之间的双曲同构映射。在论文的最后部分，我们讨论了这些 holomorphic Lagrangian子流形完备性的 Simpson 猜想类比问题。
引用
@article{arxiv.2604.17006,
title = {The conformal limit for Nakajima quiver varieties},
author = {Sotiria Chatzimarkou and Panagiotis Dimakis},
journal= {arXiv preprint arXiv:2604.17006},
year = {2026}
}
备注
Second draft. Full proof of the Simpson foliation conjecture for quiver varieties added. Various minor changes. Comments welcome!