Deformation complex of a d-algebra is a (d+1)-algebra

2000/10/07 by Dmitry Tamarkin, Dmitry E. Tamarkin, Tamarkin, Dmitry E. · 3 citations
Agricultural and Biological Sciences · Computer Science · Mathematics · #Advanced Scientific Research Methods #Digital Image Processing Techniques #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0010072

arxiv created 2000/10/07 · openalex publication_date 2000/10/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove thst the deformation complex of a d-algebra (shifted by 1-d) carries a natural structure of (d+1)-algebra. This is a purely algebraic version of a similkar theorem of Kontsevich.

Cited by

• On Kontsevich's Hochschild cohomology conjecture
• On the open-closed B-model
• Integral transforms and Drinfeld centers in derived algebraic geometry

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