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Book synopsis

The book deals with nonlocal elliptic differential operators. These are operators whose coefficients involve shifts generated by diffeomorphisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry. To make the book self-contained, the authors have included necessary geometric material (C -algebras and their K-theory, cyclic homology, etc.).

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Elliptic Theory and Noncommutative Geometry
• Author: Vladimir E. Nazaikinskii, A. Y. Savin, Boris Y. Sternin
• Language: English
• Binding: Hardback
• Number of pages: 224
• EAN: 9783764387747
• ISBN: 3764387742
• ID: 01717109
• Publisher: Birkhauser Verlag AG
• Weight: 530 g
• Dimensions: 235 × 165 × 18 mm
• Date of publishing: 16. May 2008

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