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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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Reseña del editor
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.
Reseña del editor
This volume provides a self-contained represenation 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.
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- VerlagWorld Scientific Publishing Co Pte Ltd
- Erscheinungsdatum2001
- ISBN 10 9810246102
- ISBN 13 9789810246105
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten308
- Kontakt zum HerstellerNicht verfügbar
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The Index Theorem and the Heat Equation Method (Nankai Tracts in Mathematics)
Verlag:
World Scientific Publishing Company, 2001
ISBN 10: 9810246102
ISBN 13: 9789810246105
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