Decorated Marked Surfaces: Calabi-Yau categories and related topics
classification
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math.CTmath.GT
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categoriesmarkedsurfacesdecoratedbraidcalabi-yaucalabi-yau-2calabi-yau-3
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This is a survey on the project `Decorated Marked Surfaces', where we introduce the decoration $\Delta$ on a marked surfaces $\mathbf{S}$, to study Calabi-Yau-2 (cluster) categories, Calabi-Yau-3 (Fukaya) categories, braid groups for quivers with potential, quadratic differentials and stability conditions.
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