On the structure of Calabi-Yau categories with a cluster tilting subcategory

Details On the structure of Calabi-Yau categories with a cluster tilting subcategory On the structure of Calabi-Yau categories with a cluster tilting subcategory

2006-07-17

arxiv.org/abs/math/0607394v1

Mathematics

Representation Theory

18 pages

Scientific paper

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.

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