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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

Rights: Copyright © 2009 Mathematical Society of Japan

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