The Lefschetz-Lunts formula for deformation quantization modules
Francois Petit
TL;DR
This paper extends a trace formula originally by V. Lunts to the setting of deformation quantization modules, providing a new tool for calculating traces in this mathematical framework.
Contribution
It adapts Lunts' trace formula to deformation quantization modules, bridging Hochschild homology and quantization theory.
Findings
Derived a trace formula for deformation quantization modules
Connected Hochschild homology with deformation quantization
Provided computational methods for traces in quantized settings
Abstract
We adapt to the case of deformation quantization modules a formula of V. Lunts who calculates the trace of a kernel acting on Hochschild homology.
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