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.
Acquista questo ebook e ricevine 1 in più GRATIS!
Lingua Inglese ● Formato PDF ● Pagine 308 ● ISBN 9789814491112 ● Casa editrice World Scientific Publishing Company ● Pubblicato 2001 ● Scaricabile 3 volte ● Moneta EUR ● ID 8098385 ● Protezione dalla copia Adobe DRM
Richiede un lettore di ebook compatibile con DRM