Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem

Peter B. Gilkey

ISBN 10: 0849378745 / ISBN 13: 9780849378744

Edité par Taylor & Francis Group, 1995

A propos de cet article

pp. 536 2nd Edition.

N° de réf. du vendeur 262127610

Détails bibliographiques

• Titre: Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem
• Éditeur: Taylor & Francis Group
• Date de parution: 1995
• Langue: anglais
• ISBN à 10 chiffres: 0849378745
• ISBN à 13 chiffres: 9780849378744
• Reliure: Couverture rigide
• Édition: 2ème Édition
• État de l'article: New

A propos de ce titre

Synopsis

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.

À propos de l?auteur

Gilkey, Peter B.