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- W2962921610 abstract "In this paper we study the cohomology of (strict) Lie 2-groups. We obtain an explicit Bott-Shulman type map in the case of a Lie 2-group corresponding to the crossed module A −→ 1. The cohomology of the Lie 2-groups corresponding to the universal crossed modules G −→ Aut (G) and G −→ Aut(G) is the abutment of a spectral sequence involving the cohomology of GL(n,Z) and SL(n,Z). When the dimension of the center of G is less than 3, we compute explicitly these cohomology groups. We also compute the cohomology of the Lie 2-group corresponding to a crossed module G i −→ H for which Ker(i) is compact and Coker(i) is connected, simply connected and compact and apply the result to the string 2-group." @default.
- W2962921610 created "2019-07-30" @default.
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- W2962921610 date "2009-01-01" @default.
- W2962921610 modified "2023-09-23" @default.
- W2962921610 title "Cohomology of Lie $2$-groups" @default.
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- W2962921610 doi "https://doi.org/10.4171/lem/55-3-8" @default.
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