Generalized Symplectic Geometries and the Index of Families of Elliptic-problems - Memoirs of the American Mathematical Society (Paperback)Liviu I. Nicolaescu (author)
Paperback 81 Pages / Published: 30/08/1997
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In this book, an index theorem is proved for arbitrary families of elliptic boundary value problems for Dirac operators and a surgery formula for the index of a family of Dirac operators on a closed manifold. Also obtained is a very general result on the cobordism invariance of the index of a family. All results are established by first symplectically rephrasing the problems and then using a generalized symplectic reduction technique. This provides a unified approach to all possible parameter spaces and all possible symmetries of a Dirac operator (eight symmetries in the real case and two in the complex case).
Publisher: American Mathematical Society
Number of pages: 81
Weight: 189 g
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