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We show how to integrate a weak morphism of Lie algebra crossed-modules to a weak morphism of Lie 2-groups.
D. Conduché, Modules croisés généralisés de longueur 2 2 , J. Pure Appl. Algebra 34
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R. Brown, N. D. Gilbert, Algebraic models of 3 3 -types and automorphism structures for crossed modules , Proc. London Math. Soc. (3) 59
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J. Baez, A. Crans, Higher-dimensional algebra. VI. Lie 2-algebras , Theory Appl. Categ. 12
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A. Henriques, Integrating L ∞ L_{\infty} -algebras , Compos. Math. 144
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E. Aldrovandi, B. Noohi, Butterflies III: 2-butterflies and 2-group stacks , in preparation
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Z. Arvasİ, T. S. Kuzpinari, E. Ö. Uslu, Three crossed modules , arXiv:0812.4685v1 [math.CT]
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E. Getzler, Lie theory for nilpotent L ∞ L_{\infty} -algebras , [arXiv:math/0404003v4], to appear in Ann. Math
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B. Noohi, Foundations of topological stacks, I , math.AG/0503247v1
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B. Noohi, Homotopy types of topological stacks , arXiv:0808.3799v1 [math.AT]
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B. Noohi, On weak maps between 2-groups , arXiv:math/0506313v3 [math.CT]
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Y. Sheng, Ch. Zhu, Integration of DGLA morphisms , prerpint
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Ch. Zhu, M. Zambon, L ∞ L_{\infty} -actions on NQ-manifolds , preprint
Cited in the paper.
E. Aldrovandi, B. Noohi, Butterflies I: morphisms of 2-group stacks , Adv. Math. 221
2009
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