nLab Marius Crainic

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Selected writings

On the cyclic homology of groupoid convolution algebras of étale groupoids:

• Marius Crainic, Cyclic Cohomology of Étale Groupoids; The General Case, K-Theory 17: 319–362, 1999 (arXiv:funct-an/9712001, published pdf)

On Lie integration in the generality of Lie algebroids integrating to Lie groupoids (cf. Lie's three theorems):

• Marius Crainic, Rui Loja Fernandes, Integrability of Lie brackets, Ann. of Math. 157 2 (2003) 575-620 [arXiv:math.DG/0105033, doi:10.4007/annals.2003.157.575]

• Rui Loja Fernandes, Marius Crainic, Ioan Mărcuţ, Lectures on Integrability of Lie Brackets, Geometry & Topology Monographs 17 (2011) 1–107 [arxiv:math.DG/0611259, doi:10.2140/gtm.2011.17.1]

On differential geometry (including G-structures):

• Marius Crainic, Differential geometry course, 2015 (pdf, pdf)

On Poisson geometry:

• Marius Crainic, Rui Loja Fernandes, Ioan Mărcuţ, Lectures on Poisson Geometry, Graduate Studies in Mathematics 217, Amer. Math. Soc. (2021) [ISBN:978-1-4704-6430-1]

On characteristic classes for Lie algebroids

• Marius Crainic, Rui Loja Fernandes, Secondary characteristic classes of Lie algebroids, In: Carow-Watamura, U., Maeda, Y., Watamura, S. (eds) Quantum Field Theory and Noncommutative Geometry. Lecture Notes in Physics 662, Springer doi

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