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Exhausting formal quantization procedures

Dolgushev, VA
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Conference Proceeding
Date
2013-01-01
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math.QA
 math.QA
 53D55, 19D55
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http://hdl.handle.net/20.500.12613/5989
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1111.2797v1.pdf
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10.1007/978-3-0348-0448-6_4
Abstract
© 2013 Springer Basel. In paper [1] 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 XXX Workshop on Geometric Methods in Physics in Białowieza, Poland.
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Trends in Mathematics
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