Generalized symplectic geometries and the index of families...

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Generalized symplectic geometries and the index of families of elliptic problems

Name: Generalized symplectic geometries and the index of families of elliptic problems
ISBN: 9780821806210

Liviu I. Nicolaescu

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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).

Kateqoriyalar:

Mathematics

İl:

1997

Nəşriyyat:

American Mathematical Society

Dil:

english

Səhifələr:

ISBN 10:

0821806211

ISBN 13: