The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator

• Main Author: Duistermaat, J. J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2011.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Global analysis (Mathematics).; Manifolds (Mathematics).; Operator theory.; Partial differential equations.; Differential geometry.; Mathematical physics.; Global Analysis and Analysis on Manifolds.; Partial Differential Equations.; Differential Geometry.; Analysis.; Operator Theory.; Mathematical Physics.

Interest in the spin-c Dirac operator originally came about from the study of complex analytic manifolds, where in the non-Kähler case the Dolbeault operator is no longer suitable for getting local formulas for the Riemann–Roch number or the holomorphic Lefschetz number. However, every symplectic ma...