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Proceedings of the American Mathematical Society

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On deformations of compact foliations


Authors: Matias del Hoyo and Rui Loja Fernandes
Journal: Proc. Amer. Math. Soc. 147 (2019), 4555-4561
MSC (2010): Primary 22A22, 53C12
DOI: https://doi.org/10.1090/proc/14567
Published electronically: July 1, 2019
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Abstract: We combine classic stability results for foliations with recent results on deformations of Lie groupoids and Lie algebroids to provide a cohomological characterization for rigidity of compact Hausdorff foliations on compact manifolds.


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Matias del Hoyo
Affiliation: Departamento de Geometria - IME, Universidade Federal Fluminense, Rua Professor Marcos Waldemar de Freitas Reis, 24210-201, Niterói, Brazil
Email: mldelhoyo@id.uff.br

Rui Loja Fernandes
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
Email: ruiloja@illinois.edu

DOI: https://doi.org/10.1090/proc/14567
Received by editor(s): July 27, 2018
Received by editor(s) in revised form: January 21, 2019, January 27, 2019, January 28, 2019, and January 30, 2019
Published electronically: July 1, 2019
Additional Notes: The first author was supported by National Council for Scientific and Technological Development - CNPq grant 303034/2017-3.
The second author was partially supported by NSF grants DMS 1405671, DMS 1710884 and a Simons Fellowship.
Both authors acknowledge the support of the Ciências Sem Fronteiras grant 401817/2013-0.
Communicated by: Jiaping Wang
Article copyright: © Copyright 2019 American Mathematical Society