- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:12
Journal of Noncommutative Geometry
J. Noncommut. Geom.
JNCG
1661-6952
1661-6960
Global analysis, analysis on manifolds
General
10.4171/JNCG
http://www.ems-ph.org/doi/10.4171/JNCG
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
3
2009
2
Explicit HRS-tilting
Behrang
Noohi
Florida State University, TALLAHASSEE, UNITED STATES
Tilting, stability conditions
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.
Category theory; homological algebra
Associative rings and algebras
General
223
259
10.4171/JNCG/36
http://www.ems-ph.org/doi/10.4171/JNCG/36