An operadic approach to vertex algebra and Poisson vertex algebra cohomology
Name
1806.08754.pdf
Description
Accepted version
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841.23 KB
Format
Adobe PDF
Checksum (MD5)
73153e121ff38ff5354f8a479c328f58
Author(s)
Kac, Victor
Alternative Title
An operadic approach to vertex algebra and Poisson vertex algebra cohomology
Date Issued
June 2019
Journal
Japanese journal of mathematics
Publisher
Springer Science and Business Media LLC
Citation
Bakalov, Bojko, Alberto De Sole, Reimundo Heluani , and Victor G. Kac, "An operadic approach to vertex algebra and Poisson vertex algebra cohomology." Japanese journal of mathematics 14 (June 2019): p. 249-342 doi 10.1007/S11537-019-1825-3 ©2019 Author(s)
Version
Author's final manuscript
Abstract
We translate the construction of the chiral operad by Beilinson and Drinfeld to the purely algebraic language of vertex algebras. Consequently, the general construction of a cohomology complex associated to a linear operad produces the vertex algebra cohomology complex. Likewise, the associated graded of the chiral operad leads to the classical operad, which produces a Poisson vertex algebra cohomology complex. The latter is closely related to the variational Poisson cohomology studied by two of the authors. ©2019
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/S11537-019-1825-3
