In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction of the heat kernel of a generalized Dirac operator
|AUTOR||Nicole Berline, Ezra Getzler, Michèle Vergne|
|DATEINAME||Heat Kernels and Dirac Operators.pdf|
Key words. Dirac operators, Hardy spaces, Maxwell's equations, Lipschitz domains. ...  N. Berline, E. Getzler and M. Verne, Heat Kernels and Dirac Operators, ... (A) The classical theory of spinors and Dirac operators in the Riemannian case. ... [BGV] N. Berline, E. Getzler and M. Vergne, Heat Kernels and Dirac Operators ...