For every star product with separation of variables on a pseudo-Kähler manifold, the paper constructs an algebra of formal distributions whose trace encodes the formal oscillatory exponents, the cyclic Calabi functions, of the star product.
Advances in Geometry, Progress in Mathematics, 172 (1999), 1–18
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An algebra of distributions related to a star product with separation of variables
For every star product with separation of variables on a pseudo-Kähler manifold, the paper constructs an algebra of formal distributions whose trace encodes the formal oscillatory exponents, the cyclic Calabi functions, of the star product.