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math.DG2003
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…
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…