Year: 2025
Type: article
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.
Authors: Camilo Angulo, Miquel Cueca
Institutions: Jilin University, KU Leuven
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4414530677