The order of curvature operators on loop groups

Abstract

For loop groups (free and based), we compute the exact order of the curvature operator of the Levi-Civita connection depending on a Sobolev space parameter. This extends results of Freed and Maeda-Rosenberg-Torres.

to appear in Letters in Mathematical Physics

References in corpus (1)

• Secondary Characteristic Classes on Loop Spaces

Cited by in corpus (2)

• An Algebraic Topological Construct of Classical Loop Gravity and the prospect of Higher Dimensions
• Sobolev Maps into Compact Lie Groups and Curvature