用于刚性物体和部分三角测量的彩色箭图：未穿孔情况
Coloured quivers for rigid objects and partial triangulations: The unpunctured case
摘要：
我们将一个有色的三角形的一个刚性的对象在一个满有限的2-Calabi-丘三角化类别和部分三角化标记（未穿孔）黎曼曲面。我们表明，在该类别的情况下，是广义集群类别与表面，彩色颤动一致。我们还表明，兼容的概念突变可以定义，并给出一个明确的描述的情况下，磁盘。在一般的2-Calabi-Yau情形下给出了部分描述。我们进一步表明，Iyama-Yoshino还原可以被解释为沿弧切割的表面。
英文摘要：
We associate a coloured quiver to a rigid object in a Hom-finite 2-Calabi--Yau triangulated category and to a partial triangulation on a marked (unpunctured) Riemann surface. We show that, in the case where the category is the generalised cluster category associated to a surface, the coloured quivers coincide. We also show that compatible notions of mutation can be defined and give an explicit description in the case of a disk. A partial description is given in the general 2-Calabi-Yau case. We show further that Iyama-Yoshino reduction can be interpreted as cutting along an arc in the surface.
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