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Index theory and non-commutative geometry on foliated manifolds
- Publication Year :
- 2009
-
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.<br />116 pages, English translation of the paper published in Russian in Uspekhi Mat. Nauk 64:2(386) (2009), 73-202
- Subjects :
- Mathematics - Differential Geometry
Index (economics)
General Mathematics
Mathematics - Operator Algebras
Geometry
Elliptic operator
Differential Geometry (math.DG)
FOS: Mathematics
58B34, 19K56, 46L87, 58J42
Mathematics::Differential Geometry
Operator Algebras (math.OA)
Commutative property
Mathematics::Symplectic Geometry
Mathematics
Subjects
Details
- Language :
- Russian
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....745f5f8f111b63154e4c53ed60e0f93c