S. Paycha

activity

20002005

most citedA Laurent expansion for regularised integrals of holomorphic symbols

4 citations · 7 across the 4 of their papers we have counts for

collaborators

Showing 2000Show all

2 papers · 1 filter

math.DG2000

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…

math.OA2000

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 $A \to t r^{Q} (A) := (t r (A Q^{- z}) - z^{- 1} t r (A Q^{- z}))_{z = 0}$ defined on the whole algebra of (classical) pseudo-d…