JournalsjncgVol. 3 , No. 2DOI 10.4171/jncg/36

Explicit HRS-tilting

  • Behrang Noohi

    Florida State University, Tallahassee
Explicit HRS-tilting cover


For an abelian category A equipped with a torsion pair, we give an explicit description for the tilted abelian category B introduced in [HaReSm], and also for the categories Ch(B) and \mathcal{D}(B). We also describe the DG structure on Ch(B). As a consequence, we find new proofs of certain results of [ibid.]. The main ingredient is the category of decorated complexes.