In this paper we introduce the notion of deformation cohomology for singular foliations and related objects (namely integrable differential forms and Nambu structures), and study it in the local case, i.e., in the neighborhood of a point.
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Philippe Monnier 1 ; Tien Zung Nguyen 1
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@article{CRMATH_2020__358_3_273_0,
author = {Philippe Monnier and Tien Zung Nguyen},
title = {Deformation of singular foliations, 1: {Local} deformation cohomology},
journal = {Comptes Rendus. Math\'ematique},
pages = {273--283},
publisher = {Acad\'emie des sciences, Paris},
volume = {358},
number = {3},
year = {2020},
doi = {10.5802/crmath.26},
language = {en},
}
TY - JOUR AU - Philippe Monnier AU - Tien Zung Nguyen TI - Deformation of singular foliations, 1: Local deformation cohomology JO - Comptes Rendus. Mathématique PY - 2020 SP - 273 EP - 283 VL - 358 IS - 3 PB - Académie des sciences, Paris DO - 10.5802/crmath.26 LA - en ID - CRMATH_2020__358_3_273_0 ER -
Philippe Monnier; Tien Zung Nguyen. Deformation of singular foliations, 1: Local deformation cohomology. Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 273-283. doi : 10.5802/crmath.26. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.26/
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