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arXiv · 2405.09969

The van Est homomorphism for strict Lie 2-groups

Camilo Angulo·Miquel Cueca
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Abstract

We construct a van Est map for strict Lie 2-groups from the Bott-Shulman-Stasheff double complex of the strict Lie 2-group to the Weil algebra of its associated strict Lie 2-algebra. We show that, under appropriate connectedness assumptions, this map induces isomorphisms in cohomology. As an application, we differentiate the Segal 2-form on the loop group.

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Camilo Angulo, Miquel Cueca. 2024-05-16. The van Est homomorphism for strict Lie 2-groups. https://doi.org/10.1093/qmath%2Fhaaf036

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