向量丛系与乘法预投射代数的单值性
Monodromy for systems of vector bundles and multiplicative preprojective algebras
摘要：
我们研究的系统涉及向量丛和对数连接黎曼曲面和线性代数数据连接他们的残留物。这推广了变形预投射代数的表示。我们的主要结果是存在一个单值函子从这样的系统表示的乘法预投射代数。作为推论，我们证明了与Dynkin代数相关的乘法预投射代数同构于通常的预投射代数。
英文摘要：
We study systems involving vector bundles and logarithmic connections on Riemann surfaces and linear algebra data linking their residues. This generalizes representations of deformed preprojective algebras. Our main result is the existence of a monodromy functor from such systems to representations of a multiplicative preprojective algebra. As a corollary, we prove that the multiplicative preprojective algebra associated to a Dynkin quiver is isomorphic to the usual preprojective algebra.
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