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http://hdl.handle.net/1942/11965
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DC Field | Value | Language |
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dc.contributor.author | Keller, Bernhard | - |
dc.contributor.author | VAN DEN BERGH, Michel | - |
dc.date.accessioned | 2011-05-26T14:42:34Z | - |
dc.date.available | NO_RESTRICTION | - |
dc.date.available | 2011-05-26T14:42:34Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 654. p. 125-180 | - |
dc.identifier.issn | 0075-4102 | - |
dc.identifier.uri | http://hdl.handle.net/1942/11965 | - |
dc.description.abstract | We define and investigate deformed n-Calabi-Yau completions of homologically smooth differential graded (=dg) categories. Important examples are: deformed preprojective algebras of connected non-Dynkin quivers, Ginzburg dg algebras associated to quivers with potentials and dg categories associated to the category of coherent sheaves on the canonical bundle of a smooth variety. We show that deformed Calabi-Yau completions do have the Calabi-Yau property and that their construction is compatible with derived equivalences and with localizations. In particular, Ginzburg dg algebras have the Calabi-Yau property. We show that deformed 3-Calabi-Yau completions of algebras of global dimension at most 2 are quasi-isomorphic to Ginzburg dg algebras and apply this to the study of cluster-tilted algebras and to the construction of derived equivalences associated to mutations of quivers with potentials. In the appendix, Michel Van den Bergh uses non-commutative differential geometry to give an alternative proof of the fact that Ginzburg dg algebras have the Calabi-Yau property. | - |
dc.language.iso | en | - |
dc.publisher | WALTER DE GRUYTER & CO | - |
dc.title | Deformed Calabi-Yau completions | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 180 | - |
dc.identifier.spage | 125 | - |
dc.identifier.volume | 654 | - |
local.format.pages | 56 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [Keller, Bernhard] Univ Paris 07, Inst Math Jussieu, UFR Math, CNRS,UMR 7586, F-75205 Paris 13, France. [Van den Bergh, Michel] Hasselt Univ, Dept WNI, B-3590 Diepenbeek, Belgium. keller@math.jussieu.fr; vdbergh@luc.ac.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1515/CRELLE.2011.031 | - |
dc.identifier.isi | 000290377000003 | - |
item.accessRights | Closed Access | - |
item.contributor | Keller, Bernhard | - |
item.contributor | VAN DEN BERGH, Michel | - |
item.fullcitation | Keller, Bernhard & VAN DEN BERGH, Michel (2011) Deformed Calabi-Yau completions. In: JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 654. p. 125-180. | - |
item.fulltext | No Fulltext | - |
item.validation | ecoom 2012 | - |
crisitem.journal.issn | 0075-4102 | - |
crisitem.journal.eissn | 1435-5345 | - |
Appears in Collections: | Research publications |
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