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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Limba Engleză ● Format PDF ● Pagini 308 ● ISBN 9789814491112 ● Editura World Scientific Publishing Company ● Publicat 2001 ● Descărcabil 3 ori ● Valută EUR ● ID 8098385 ● Protecție împotriva copiilor Adobe DRM
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