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

Goncalo Tabuada

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

Representation Theory 2007-05-23 v1 K-Theory and Homology

Authors: Goncalo Tabuada

Abstract

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.

Keywords

calabi-yau categories cluster tilting subcategory triangulated categories dg category t-structure

Cite

@article{arxiv.math/0607394,
  title  = {On the structure of Calabi-Yau categories with a cluster tilting subcategory},
  author = {Goncalo Tabuada},
  journal= {arXiv preprint arXiv:math/0607394},
  year   = {2007}
}

Comments

18 pages

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