Advanced Studies in Pure Mathematics

An analogue of the space of conformal blocks in $(4k + 2)$-dimensions

Kiyonori Gomi

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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.

Article information

Source
Noncommutativity and Singularities: Proceedings of French–Japanese symposia held at IHÉS in 2006, J.-P. Bourguignon, M. Kotani, Y. Maeda and N. Tose, eds. (Tokyo: Mathematical Society of Japan, 2009), 235-247

Dates
Received: 2 August 2007
First available in Project Euclid: 28 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543447911

Digital Object Identifier
doi:10.2969/aspm/05510235

Mathematical Reviews number (MathSciNet)
MR2463500

Zentralblatt MATH identifier
1195.53052

Citation

Gomi, Kiyonori. An analogue of the space of conformal blocks in $(4k + 2)$-dimensions. Noncommutativity and Singularities: Proceedings of French–Japanese symposia held at IHÉS in 2006, 235--247, Mathematical Society of Japan, Tokyo, Japan, 2009. doi:10.2969/aspm/05510235. https://projecteuclid.org/euclid.aspm/1543447911


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