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- W2952774581 abstract "We prove the statement/conjecture of M. Kontsevich on the existence of the logarithmic formality morphism. This question was open since 1999, and the main obstacle was the presence of $dr/r$ type singularities near the boundary $r=0$ in the integrals over compactified configuration spaces. The novelty of our approach is the use of local torus actions on configuration spaces of points in the upper half-plane. It gives rise to a version of Stokes' formula for differential forms with singularities at the boundary which implies the formality property. We also show that the logarithmic formality morphism admits a globalization from $mathbb{R}^d$ to an arbitrary smooth manifold." @default.
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- W2952774581 date "2014-01-14" @default.
- W2952774581 modified "2023-09-26" @default.
- W2952774581 title "Logarithms and deformation quantization" @default.
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