On deformations of compact foliations
Matias del Hoyo, Rui Loja Fernandes
TL;DR
This paper integrates stability theory and deformation results of Lie groupoids and algebroids to characterize when compact foliations on compact manifolds are rigid, using cohomological methods.
Contribution
It offers a new cohomological framework for understanding the rigidity of compact foliations by combining classical and recent deformation theories.
Findings
Cohomological criteria for foliation rigidity
Unified approach linking stability and deformation theories
Application to compact manifolds with 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 foliations on compact manifolds.
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