Index Theorem. 1
"The author's main goal in this volume is to give a complete proof of the index theorem. The version of the proof he chooses to present is the one based on the localization theorem. The prerequisites include a first course in differential geometry, some linear algebra, and some facts about partial differential equations in Euclidean spaces."--Jacket.
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- Full title :Index Theorem. 1.
Summary
"The author's main goal in this volume is to give a complete proof of the index theorem. The version of the proof he chooses to present is the one based on the localization theorem. The prerequisites include a first course in differential geometry, some linear algebra, and some facts about partial differential equations in Euclidean spaces."--Jacket.
Read More ↓Edition Statements
- Publication Date:2007.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence
- Language:jpn
- Publication Date:2007.
Notes
Originally published: Tokyo, Iwanami Shoten, 1999.
The Physical Object
- Description:1 online resource (225 pages)
Edition Identifiers
- ISBN:9781470447892, 1470447894
- oclc:on1039687573
- LC Classification:QA614.92.F87 2007
- Dewey Decimal:514/.74
Table of Contents
What is the index? -- Manifolds, vector bundles and elliptic complexes -- Index and its localization -- Examples of the localization of the index -- Localization of eigenfunctions of the operator of Laplace type -- Formulation and proof of the index theorem -- Characteristic classes.
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