4 citations · 7 across the 4 of their papers we have counts for
6 papers
A Laurent expansion for regularised integrals of holomorphic symbols
Sylvie Paycha, Simon Scott
For a holomorphic family of classical pseudodifferential operators on a closed manifold we give exact formulae for all coefficients in the Laurent expansion of its Kontsevich-Vishi…
Weighted trace cochains; a geometric setup for anomalies
Sylvie Paycha
We extend formulae which measure discrepancies for regularized traces on classical pseudodifferential operators to regularized trace cochains, regularized traces corresponding to 0…
From Stokes' formula to cyclic Hochschild cocycles on classical symbols
Yoshiaki Maeda, Dominique Manchon, Sylvie Paycha
This paper has been withdrawn by the authors, as it contains some errors. The core of it has been entirely rewritten in math.FA/0510454.
Chern-Weil Constructions on DO Bundles
Sylvie Paycha, Steven Rosenberg
We construct Chern-Weil classes on infinite dimensional vector bundles with structure group contained in the algebra $\cl[\leq 0](M, E)$ of non-positive order classical pseudo-diff…
Curvature on determinant bundles and first Chern forms
Sylvie Paycha, Steven Rosenberg
The Quillen-Bismut-Freed construction associates a determinant line bundle with connection to an infinite dimensional super vector bundle with a family of Dirac-type operators. We…
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
A. Cardona, C. Ducourtioux, J. P. Magnot +1
Using {\it weighted traces} which are linear functionals of the type defined on the whole algebra of (classical) pseudo-d…