首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Koszul duality in deformation quantization and Tamarkin's approach to Kontsevich formality
Authors:Boris Shoikhet
Institution:Faculty of Science, Technology and Communication, Campus Limpertsberg, University of Luxembourg, 162A avenue de la Faiencerie, L-1511 Luxembourg
Abstract:Let α be a quadratic Poisson bivector on a vector space V. Then one can also consider α as a quadratic Poisson bivector on the vector space V1]. Fixed a universal deformation quantization (prediction of some complex weights to all Kontsevich graphs 12]), we have deformation quantization of the both algebras S(V) and Λ(V). These are graded quadratic algebras, and therefore Koszul algebras. We prove that for some universal deformation quantization, independent on α, these two algebras are Koszul dual. We characterize some deformation quantizations for which this theorem is true in the framework of the Tamarkin's theory 19].
Keywords:Deformation quantization  Koszul duality  Operad theory
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号