Geodesic
On the structure of Calabi-Yau categories with a cluster tilting subcategory
Documenta mathematica, Tome 12 (2007), pp. 193-213.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove that for $d\geq 2$, an algebraic $d$-Calabi-Yau triangulated category endowed with a $d$-cluster tilting subcategory is the stable category of a DG category which is perfectly $(d+1)$-Calabi-Yau and carries a non degenerate $t$-structure whose heart has enough projectives.
Classification : 18E30, 18E35, 18D20, 16G30, 16G70
Keywords: triangulated category, Calabi-Yau property, $t$-structure, DG category, verdier's quotient, Brown representability theorem 
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     title = {On the structure of {Calabi-Yau} categories with a cluster tilting subcategory},
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Tabuada, Gonçalo. On the structure of Calabi-Yau categories with a cluster tilting subcategory. Documenta mathematica, Tome 12 (2007), pp. 193-213. http://geodesic.mathdoc.fr/item/DOCMA_2007__12__a15/