Invariance Theory, The Heat Equation, and the Atiyah-Singer Index Theorem (Mathematics Lecture Series, 11)

Gilkey, Peter B.

ISBN 10: 0914098209 / ISBN 13: 9780914098201

Published by Publish or Perish Inc., Wilmington, DE, 1984

About this Item

Text clean and unmarked. Binding tight. Spine has light fading. Head and foot of spine have light rubbing. Boards have light wear along edges and at corners. Edges of pages have light wear.

Seller Inventory # 5050421

Bibliographic Details

• Title: Invariance Theory, The Heat Equation, and the Atiyah-Singer Index Theorem (Mathematics Lecture Series, 11)
• Publisher: Publish or Perish Inc., Wilmington, DE
• Publication Date: 1984
• Language: English
• ISBN 10: 0914098209
• ISBN 13: 9780914098201
• Binding: Hardcover
• Condition: Very Good

About this title

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.