不规则连接与Kac-Moody根系
Irregular connections and Kac-Moody root systems
摘要：
黎曼球面上平凡丛上的某些不规则联络的模空间将被等同于Nakajima簇。特别地，这使我们能够将卡茨-穆迪根系与这样的连接联系起来（通过相应的外尔群的反射函子，在这样的模空间之间产生许多同构）。以不同的方式“阅读”一个模的可能性也产生了这样的模空间之间的许多同构，通常是在不同秩丛上的连接空间和不同的极除子之间。最后，Crawley-Boevey关于稳定联络存在性的一些结果将被推广到更一般的情形。
英文摘要：
Some moduli spaces of irregular connections on the trivial bundle over the Riemann sphere will be identified with Nakajima quiver varieties. In particular this enables us to associate a Kac-Moody root system to such connections (yielding many isomorphisms between such moduli spaces, via the reflection functors for the corresponding Weyl group). The possibility of 'reading' a quiver in different ways also yields numerous isomorphisms between such moduli spaces, often between spaces of connections on different rank bundles and with different polar divisors. Finally some results of Crawley-Boevey on the existence of stable connections will be extended to this more general context.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
