Properties of triangulated and quotient categories arising from $n$-Calabi-Yau triples
Francesca Fedele
Abstract:Let k be a field, n ≥ 3 an integer and T a k-linear triangulated category with a triangulated subcategory T f d and a subcategory M = add(M ) such that (T , T f d , M) is an n-Calabi-Yau triple. For every integer m and every object X in T , there is a unique, up to isomorphism, truncation triangle of the formIn this paper, we prove some properties of the triangulated categories T and T T f d . Our first result gives a relation between the Hom-spaces in these categories, using limits and colimits. Our second re… Show more
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