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.
Original language | English |
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Pages (from-to) | 487-516 |
Number of pages | 30 |
Journal | Duke Mathematical Journal |
Volume | 127 |
Issue number | 3 |
DOIs | |
State | Published - 15 Apr 2005 |
Externally published | Yes |