Index theory and non-commutative geometry on foliated manifolds

Abstract

This paper gives a survey of the index theory of tangentially elliptic and transversally elliptic operators on foliated manifolds as well as of related notions and results in non-commutative geometry.

116 pages, English translation of the paper published in Russian in Uspekhi Mat. Nauk 64:2(386) (2009), 73-202

Cited by in corpus (2)

• Elliptic theory for operators associated with diffeomorphisms of smooth manifolds
• Laplacians on smooth distributions as $C^{\ast }$-algebra multipliers