Invariance theory, heat equation, and the index theorem
Peter B. Gilkey
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.
Categorias:
Ano:
1985
Editora:
Publish or Perish
Idioma:
english
Páginas:
352
ISBN 10:
0914098209
ISBN 13:
9780914098201
Série:
Mathematics Lecture Series
Arquivo:
PDF, 2.12 MB
IPFS:
,
english, 1985