Title
Hochschild cohomology of the Weyl algebra and traces in deformation quantization Hochschild cohomology of the Weyl algebra and traces in deformation quantization
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Durham, N.C. ,
Subject
Mathematics
Source (journal)
Duke mathematical journal. - Durham, N.C.
Volume/pages
127(2005) :3 , p. 487-516
ISSN
0012-7094
ISI
000237151400003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
We give a formula for a cocycle generating the Hochschild cohomology of the Weyl algebra with coefficients in its dual. It is given by an integral over the configuration space of ordered points on a circle. Using this formula and a noncommutative version of formal geometry, we obtain an explicit expression for the canonical trace in deformation quantization of symplectic manifolds.
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