Formality for algebroid stacks
Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan
TL;DR
This paper extends Kontsevich's formality theorem from deformations of the structure sheaf to deformations of gerbes, broadening the scope of deformation quantization in algebraic geometry.
Contribution
It introduces a new formality theorem applicable to algebroid stacks, generalizing previous results to a broader class of geometric objects.
Findings
Extended formality theorem to algebroid stacks
Established deformation theory for gerbes
Connected deformation quantization with higher geometric structures
Abstract
We extend the formality theorem of M. Kontsevich from deformations of the structure sheaf on a manifold to deformations of gerbes.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Nonlinear Waves and Solitons