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Another proof of M. Kontsevich formality theorem

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arxiv math/9803025 v4 pith:ADDD5BGL submitted 1998-03-08 math.QA

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keywords formalitykontsevichprooftheoremalternativeanothercontains
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The paper contains an alternative proof of M. Kontsevich Formality Theorem.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Getzler-Gauss-Manin connection and Kontsevich-Soibelman operations on the periodic cyclic homology

    math.QA 2026-01 conditional novelty 8.0 of 10

    Over a field of characteristic p, all Kontsevich-Soibelman operations on periodic cyclic homology are generated by the p-fold equivariant cap product and commute with the Getzler-Gauss-Manin connection.

  2. Hochschild cohomology and deformation theory of stable infinity-categories with t-structures

    math.AG 2025-06 conditional novelty 7.0 of 10

    Stable infinity-categories with left and right complete t-structures have deformation functors that are formal E2-moduli problems determined by their Hochschild cohomology.

  3. $\mathbb{E}_2$-algebra structures on the derived center of an algebraic scheme

    math.AT 2025-06 conditional novelty 5.0 of 10

    The Hochschild complex of an algebra or scheme is exhibited as the E1-operadic center of the structure sheaf, and the induced E2-algebra structure recovers the classical Gerstenhaber bracket and cup product.

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