Deformation complex of a d-algebra is a (d+1)-algebra
Dmitry E. Tamarkin
TL;DR
This paper proves that the deformation complex of a d-algebra naturally acquires a (d+1)-algebra structure, extending known results in algebraic deformation theory.
Contribution
It establishes a purely algebraic proof that the deformation complex of a d-algebra has a (d+1)-algebra structure, generalizing Kontsevich's theorem.
Findings
Deformation complex of a d-algebra is a (d+1)-algebra.
Provides an algebraic proof of a generalization of Kontsevich's theorem.
Enhances understanding of algebraic structures in deformation theory.
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.
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Taxonomy
TopicsAdvanced Scientific Research Methods · Digital Image Processing Techniques