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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.).
Geometric invariant theory Автор: D. Mumford Год: 1982 |
Random knotting and linking Автор: Kenneth C. Millett Год: 1994 |
Gems, computers, and attractors for 3-manifolds Автор: Sostenes Lins Год: 1995 |
Functorial knot theory: Categories of tangles, coherence, categorical deformations, and topological invariants Автор: David N. Yetter Год: 2001 |
Operational Spacetime: Interactions and Particles (Fundamental Theories of Physics) Автор: Heinrich Saller Год: 2009 |
Geometric invariant theory Автор: Mumford D., Fogarty J., Kirwan F. Год: 1994 |