Abstract
We define n-angulated categories by modifying the axioms of triangulated categories in a natural way. We show that Heller's parametrization of pre-triangulations extends to pre-n-angulations. We obtain a large class of examples of n-angulated categories by considering (n − 2)-cluster tilting subcategories of triangulated categories which are stable under the (n − 2)-nd power of the suspension functor. As an application, we show how n-angulated Calabi–Yau categories yield triangulated Calabi–Yau categories of higher Calabi–Yau dimension. Finally, we sketch a link to algebraic geometry and string theory.
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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