%0 Journal Article %T The order of curvature operators on loop groups %A Andres Larrain-Hubach %J Mathematics %D 2009 %I arXiv %R 10.1007/s11005-009-0352-1 %X 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. %U http://arxiv.org/abs/0909.4466v1