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Central extensions of gauge transformation groups of higher abelian gerbes

Kiyonori Gomi
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Abstract

We construct a central extension of the smooth Deligne cohomology group of a compact oriented odd dimensional smooth manifold, generalizing that of the loop group of the circle. While the central extension turns out to be trivial for a manifold of dimension 3, 7, 11,..., it is non-trivial for 1, 5, 9,.... In the case where the central extension is non-trivial, we show an analogue of the Segal-Witten reciprocity law.

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BibTeXRIS

Kiyonori Gomi. 2005-06-17. Central extensions of gauge transformation groups of higher abelian gerbes. https://doi.org/10.1016/j.geomphys.2005.10.005

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