The order of curvature operators on loop groups

Details The order of curvature operators on loop groups The order of curvature operators on loop groups

2009-09-24

arxiv.org/abs/0909.4466v1

Mathematics

Differential Geometry

to appear in Letters in Mathematical Physics

Scientific paper

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.

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