Projective unitary representations of smooth Deligne cohomology groups
Representation Theory
2007-05-23 v2 Differential Geometry
Abstract
We construct projective unitary representations of the smooth Deligne cohomology group of a compact oriented Riemannian manifold of dimension 4k+1, generalizing positive energy representations of the loop group of the circle. We also classify such representations under a certain condition. The number of the equivalence classes of irreducible representations is finite, and is determined by the cohomology of the manifold.
Keywords
Cite
@article{arxiv.math/0510187,
title = {Projective unitary representations of smooth Deligne cohomology groups},
author = {Kiyonori Gomi},
journal= {arXiv preprint arXiv:math/0510187},
year = {2007}
}
Comments
34 pages, LaTeX 2e; Lemma 6.4 is replaced, Subsection 7.2 is deleted