Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators by Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin
English | PDF | 2008 | 224 Pages | ISBN : 3764387742 | 1.5 MB
This comprehensive yet concise book deals with nonlocal elliptic differential operators, whose coefficients involve shifts generated by diffeomorophisms 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 elliptic operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry.