The Index Theorem and the Heat Equation Method

This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first order geometric elliptic operators by using the heat equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems, and it seems to be as efficient as other methods.

Product details

• Authors: Yanlin Yu
• Assisted by: Weiping Zhang (Editor)
• Publisher: World Scientific Publishing Company
• Languages: English
• Product format: Hardback
• Released: 04.07.2001
• EAN: 9789810246105
• ISBN: 978-981-02-4610-5
• No. of pages: 308
• Dimensions: 158 mm x 222 mm x 13 mm
• Weight: 576 g
• Series: Nankai Tracts in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra