$n$-angulated categories

Details $n$-angulated categories $n$-angulated categories

2010-06-23

arxiv.org/abs/1006.4592v3

Mathematics

K-Theory and Homology

notation in axiom F2 clarified, 16 pages; v3: new section 5.5, minor corrections, to appear in Crelle's Journal

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

$n$-angulated categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $n$-angulated categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $n$-angulated categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-278478