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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On deformations of compact foliations
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by Matias del Hoyo and Rui Loja Fernandes PDF
Proc. Amer. Math. Soc. 147 (2019), 4555-4561 Request permission


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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Additional Information
  • Matias del Hoyo
  • Affiliation: Departamento de Geometria - IME, Universidade Federal Fluminense, Rua Professor Marcos Waldemar de Freitas Reis, 24210-201, Niterói, Brazil
  • Email:
  • Rui Loja Fernandes
  • Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, Illinois 61801
  • MR Author ID: 341522
  • Email:
  • 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
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 4555-4561
  • MSC (2010): Primary 22A22, 53C12
  • DOI:
  • MathSciNet review: 4002563