2011/11/11 by Vasily Dolgushev, Dolgushev, Vasily
Computer Science · Mathematics · #19D55 #53D55 #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic, programming, and type systems #Quantum Algebra (math.QA) #math.QA #msc:19D55 #msc:53D55
paper · pdf · doi:10.48550/arxiv.1111.2797
10 pages. The paper is submitted to Proceedings of the XXX Workshop on Geometric Methods in Physics
arxiv created 2011/11/11 · openalex publication_date 2011/11/11 · arxiv updated 2011/11/14 · openalex created_date 2016/12/08 · openalex updated_date 2026/07/28
In paper arXiv:1109.6031 the author introduced stable formality quasi-isomorphisms and described the set of its homotopy classes. This result can be interpreted as a complete description of formal quantization procedures. In this note we give a brief exposition of stable formality quasi-isomorphisms and prove that every homotopy class of stable formality quasi-isomorphisms contains a representative which admits globalization. This note is loosely based on the talk given by the author at the XXX Workshop on Geometric Methods in Physics in Bialowieza, Poland.