Index Theorem And The Heat Equation Method, The

China Internet Development Report 2018: Blue Book of World Internet Conference This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem.\n\nIt 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.Index Theorem And The Heat Equation Method, The is written by Yu Yanlin and published by World Scientific. ISBNs for Index Theorem And The Heat Equation Method, The are 9789812810106, 9812810102 and the print ISBNs are 9789810246105, 9810246102.