Abstract: Publisher Summary Foliation Theory is the qualitative study of differential equations. The chapter presents definitions, some examples, and the fundamental concepts like holonomy and transverse structures of foliations. Some themes in the point of view of Differential Geometry are discussed: characteristic classes, basic Hodge theory, and deformations. All foliations considered are regular, that is, all leaves have the same dimension. The theory of singular foliations and specially holomorphic singular foliations is well developed with a plenti...
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Topics: 
Pure mathematics
Mathematical analysis
Geometry