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VOL. 55 | 2009 An analogue of the space of conformal blocks in $(4k + 2)$-dimensions
Kiyonori Gomi

Editor(s) Jean-Pierre Bourguignon, Motoko Kotani, Yoshiaki Maeda, Nobuyuki Tose

## Abstract

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.

## Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1195.53052
MathSciNet: MR2463500

Digital Object Identifier: 10.2969/aspm/05510235