On deformations of compact foliations

Matias Del Hoyo; Rui Loja Fernandes

doi:10.1090/proc/14567

On deformations of compact foliations

Matias Del Hoyo
, Rui Loja Fernandes

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	4555-4561
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue number	10
DOIs	https://doi.org/10.1090/proc/14567
State	Published - 2019

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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title = "On deformations of compact foliations",

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.",

author = "Hoyo, \{Matias Del\} and Fernandes, \{Rui Loja\}",

note = "Received by the editors July 27, 2018, and, in revised form, January 21, 2019, January 27, 2019, January 28, 2019, and January 30, 2019. 2010 Mathematics Subject Classification. Primary 22A22, 53C12. 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 Ci{\^e}ncias Sem Fronteiras grant 401817/2013-0.",

year = "2019",

doi = "10.1090/proc/14567",

language = "English (US)",

volume = "147",

pages = "4555--4561",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "10",

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T1 - On deformations of compact foliations

AU - Hoyo, Matias Del

AU - Fernandes, Rui Loja

N1 - Received by the editors July 27, 2018, and, in revised form, January 21, 2019, January 27, 2019, January 28, 2019, and January 30, 2019. 2010 Mathematics Subject Classification. Primary 22A22, 53C12. 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.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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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U2 - 10.1090/proc/14567

DO - 10.1090/proc/14567

M3 - Article

AN - SCOPUS:85073374820

SN - 0002-9939

VL - 147

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

On deformations of compact foliations

Abstract

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