Journal of Noncommutative Geometry

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Volume 8, Issue 4, 2014, pp. 1147–1169
DOI: 10.4171/JNCG/182

Published online: 2015-02-02

Noncommutative unfolding of hypersurface singularity

Vladimir Hinich[1] and Dan Lemberg[2]

(1) University of Haifa, Israel
(2) University of Haifa, Israel

A version of Kontsevich formality theorem is proven for smooth DG algebras. As an application of this, it is proven that any quasiclassical datum of noncommutative unfolding of an isolated surface singularity can be quantized.

Keywords: Kontsevich formality theorem, dg algebras, operads, hypersurface singularity

Hinich Vladimir, Lemberg Dan: Noncommutative unfolding of hypersurface singularity. J. Noncommut. Geom. 8 (2014), 1147-1169. doi: 10.4171/JNCG/182