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Hochschild cohomology of the Weyl algebra and traces in deformation quantization | | Boris Feigin
; Giovanni Felder
; Boris Shoikhet
; | | Date: |
18 Nov 2003 | | Subject: | Quantum Algebra | math.QA | | Affiliation: | Landau Institute), Giovanni Felder (ETH Zurich) and Boris Shoikhet (ETH Zurich | | 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 non-commutative version of formal geometry, we obtain an explicit expression for the canonical trace in deformation quantization of symplectic manifolds. | | Source: | arXiv, math.QA/0311303 | | Services: | Forum | Review | PDF | Favorites | |
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