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Erratum to "Deformed Calabi-Yau completions"

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arxiv 1809.01126 v1 pith:ILWB6KKJ submitted 2018-09-02 math.RT math.RA

Bernhard Keller This is my paper · ORCID
classification math.RTmath.RA
keywords calabi-yaudeformedcompletionsalgebrasassumecasecomescompletion
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We correct an error and some inaccuracies that occurred in "Deformed Calabi-Yau completions''. The most important point is that, as pointed out by W. K. Yeung, to show that the deformed Calabi-Yau completion has the Calabi-Yau property, one needs to assume that the deformation parameter comes from negative cyclic homology. Notice that this does hold in the case of Ginzburg dg algebras.

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  1. Calabi-Yau completions for roots of dualizing dg bimodules

    math.RT 2024-12 conditional novelty 7.0 of 10

    A root-pair framework with cyclic invariance yields Calabi-Yau completions, a bijection with Adams graded Calabi-Yau categories of Gorenstein parameter a, and a-folded cluster categories.

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