## Advanced Studies in Pure Mathematics

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

Kiyonori Gomi

#### 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

Dates
First available in Project Euclid: 28 November 2018

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