This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first order geometric elliptic operators by using the heat equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems, and it seems to be as efficient as other methods.
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Língua Inglês ● Formato PDF ● Páginas 308 ● ISBN 9789812810106 ● Tamanho do arquivo 7.5 MB ● Editora World Scientific Publishing Company ● Cidade Singapore ● País SG ● Publicado 2001 ● Carregável 24 meses ● Moeda EUR ● ID 2447069 ● Proteção contra cópia Adobe DRM
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