Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem
Gilkey, Peter B., Krantz, Steven George
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.
Категорії:
Рік:
2018
Видання:
2nd ed
Видавництво:
Chapman and Hall/CRC
Мова:
english
Сторінки:
531
ISBN 10:
1351436430
ISBN 13:
9781351436434
Серії:
Studies in Advanced Mathematics Ser
Файл:
PDF, 20.95 MB
IPFS:
,
english, 2018