# Pontrjagin duality on multiplicative Gerbes.

@article{Blanco2020PontrjaginDO, title={Pontrjagin duality on multiplicative Gerbes.}, author={Jaider Blanco and Bernardo Uribe and Konrad Waldorf}, journal={arXiv: Algebraic Topology}, year={2020} }

We use Segal-Mitchison's cohomology of topological groups to define a convenient model for topological gerbes. We introduce multiplicative gerbes over topological groups in this setup and we define its representations. For a specific choice of representation, we construct its category of endomorphisms and we show that it induces a new multiplicative gerbe over another topological group. This new induced group is fibrewise Pontrjagin dual to the original one and therefore we called the pair of…

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