Shifted symplectic higher Lie groupoids and classifying spaces

Miquel Cueca; Chenchang Zhu

doi:0.1016/j.aim.2022.108829

paper

Shifted symplectic higher Lie groupoids and classifying spaces

arXiv:2112.01417 · doi:0.1016/j.aim.2022.108829

Abstract

We introduce the concept of $m$ -shifted symplectic Lie $n$ -groupoids and symplectic Morita equivalences between them. We then build various models for the 2-shifted symplectic structure on the classifying stack in this setting and construct explicit symplectic Morita equivalences between them.

45 pages, with appendix E by Florian Dorsch, typo corrected, text improved