Gonçalo Tabuada
Abstract
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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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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.
Key concepts: Subcategory, Calabi–Yau manifold, Mathematics, Triangulated category, Pure mathematics, Degenerate energy levels, Algebraic number, Derived category