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arXiv · 1811.07553

The interplay between 2-and-3-Calabi--Yau triangulated categories

Dong Yang
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Abstract

This short note surveys the constructions of 3-Calabi--Yau triangulated categories with simple-minded collections due to Ginzburg and Kontsevich--Soibelman and the constructions of 2-Calabi--Yau triangulated categories with cluster-tilting objects due to Buan--Marsh--Reineke--Reiten--Todorov and Amiot, and includes a discussion on the normal form of 2-Calabi--Yau triangulated categories with cluster-tilting objects.

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Dong Yang. 2018-11-19. The interplay between 2-and-3-Calabi--Yau triangulated categories. https://arxiv.org/abs/1811.07553

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