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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Bahasa Inggeris ● Format PDF ● Halaman-halaman 308 ● ISBN 9789812810106 ● Saiz fail 7.5 MB ● Penerbit World Scientific Publishing Company ● Bandar raya Singapore ● Negara SG ● Diterbitkan 2001 ● Muat turun 24 bulan ● Mata wang EUR ● ID 2447069 ● Salin perlindungan Adobe DRM
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