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The Index Theorem and the Heat Equation Method (Nankai Tracts in Mathematics, Band 2) - Hardcover

Yu, Yanlin

 
9789810246105: The Index Theorem and the Heat Equation Method (Nankai Tracts in Mathematics, Band 2)
Hardcover
ISBN 10: 9810246102 ISBN 13: 9789810246105
Verlag: World Scientific Publishing Co Pte Ltd, 2001

Inhaltsangabe

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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Verlag
World Scientific Publishing Co Pte Ltd
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
9810246102
ISBN 13 
9789810246105
Einband
Gebundene Ausgabe
Anzahl der Seiten
300
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Verantwortliche Person
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