Geometric and Topological Methods for Quantum Field Theory : Proceedings of the 2009 Villa De Leyva Summer School (Hardcover)

Introduction; 1. A brief introduction to Dirac manifolds Henrique Bursztyn; 2. Differential geometry of holomorphic vector bundles on a curve Florent Schaffhauser; 3. Paths towards an extension of Chern?Weil calculus to a class of infinite dimensional vector bundles Sylvie Paycha; 4. Introduction to Feynman integrals Stefan Weinzierl; 5. Iterated integrals in quantum field theory Francis Brown; 6. Geometric issues in quantum field theory and string theory Luis J. Boya; 7. Geometric aspects of the standard model and the mysteries of matter Florian Scheck; 8. Absence of singular continuous spectrum for some geometric Laplacians Leonardo A. Cano Garcia; 9. Models for formal groupoids Ivan Contreras; 10. Elliptic PDEs and smoothness of weakly Einstein metrics of Holder regularity Andres Vargas; 11. Regularized traces and the index formula for manifolds with boundary Alexander Cardona and Cesar Del Corral; Index.