Elliptic Operators, Topology, and Asymptotic Methods

Autor*innen

• John Roe

Parameter

• 218 Seiten
• 8 Lesestunden

• Mathematik

Mehr zum Buch

The book explores the intricate relationship between the heat equation and the Atiyah-Singer index theorem, focusing on how asymptotic expansions of solutions to partial differential equations on compact manifolds can yield topological insights. It emphasizes a unique 'supersymmetric' cancellation of eigenspaces and conducts a detailed analysis within the framework of Dirac operators on Clifford bundles, providing a sophisticated mathematical approach to these concepts.

• Sprache: Englisch
• Erscheinungsdatum: 1999
• Einband: Paperback