Local line bundles, quantization and index theory
by Professor Richard Melrose
Abstract: I will discuss the notion of a `local line bundle\' on a manifold and indicate why appropriate equivalence classes of these are classified by real 2-cohomology. Such local line bundles can be used to construct a star product on any symplectic manifold and I will show how this allows the algebraic index theorem of Fedosov to be deduced from the index theorem of Atiyah and Singer.
For More Information: Craig Hodgson tel: 8344-5553 email: C.Hodgson@ms.unimelb.edu.au