Mathematics – Differential Geometry
Scientific paper
2007-05-25
Mathematics
Differential Geometry
9 pages, LaTeX 2e
Scientific paper
Based on projective representations of smooth Deligne cohomology groups, we
introduce an analogue of the space of conformal blocks to compact oriented
(4k+2)-dimensional Riemannian manifolds with boundary. For the standard
(4k+2)-dimensional disk, we compute the space concretely to prove that its
dimension is finite.
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