Erratum to "Deformed Calabi-Yau completions"

Abstract

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.

5 pages

References in corpus (4)

• Calabi-Yau algebras
• q-Stability conditions on Calabi-Yau-X categories
• Pre-Calabi-Yau structures and moduli of representations
• Relative Calabi-Yau completions

Cited by in corpus (6)

• $q$-Stability conditions via $q$-quadratic differentials for Calabi-Yau-$\mathbb{X}$ categories
• Relative critical loci and quiver moduli
• Global critical chart for local Calabi-Yau threefolds
• McKay correspondence, cohomological Hall algebras and categorification
• Nonexistence of exact Lagrangian tori in affine conic bundles over ${\mathbb{C}}^n$
• Surfaces, braids, Stokes matrices, and points on spheres