Noncommutative unfolding of hypersurface singularity
Vladimir Hinich, Dan Lemberg
TL;DR
This paper proves a version of the Kontsevich Formality theorem for smooth DG algebras and demonstrates that noncommutative unfoldings of isolated surface singularities can be quantized.
Contribution
It extends the Kontsevich Formality theorem to smooth DG algebras and applies it to quantize noncommutative unfoldings of surface singularities.
Findings
Proven a Kontsevich Formality theorem for smooth DG algebras
Established quantization of noncommutative unfoldings of surface singularities
Demonstrated the applicability of the theorem to isolated surface singularities
Abstract
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology