Braid groups and Kleinian singularities
Braid groups and Kleinian singularities
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DOI：
10.1007/s00208-010-0627-y
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发表时间：
2009-10
影响因子：
1.4
通讯作者：
Christopher Brav;H. Thomas
中科院分区：
文献类型：
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作者：
Christopher Brav;H. Thomas
我们建立了忠实的辫子群行动产生的扭曲沿着ADE配置的2-球形物体在派生类别。我们的主要工具是ADE型辫群上的Garside结构。这个忠实的结果提供了缺少的成分在Bridgeland的描述空间的稳定性条件相关的克莱因奇点。
We establish faithfulness of braid group actions generated by twists along an ADE configuration of 2-spherical objects in a derived category. Our major tool is the Garside structure on braid groups of type ADE. This faithfulness result provides the missing ingredient in Bridgeland’s description of a space of stability conditions associated to a Kleinian singularity.