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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Sprache Englisch ● Format PDF ● Seiten 308 ● ISBN 9789812810106 ● Dateigröße 7.5 MB ● Verlag World Scientific Publishing Company ● Ort Singapore ● Land SG ● Erscheinungsjahr 2001 ● herunterladbar 24 Monate ● Währung EUR ● ID 2447069 ● Kopierschutz Adobe DRM
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