Event Type:

Topology Seminar

Date/Time:

Tuesday, November 21, 2006 - 07:00

Location:

Kidder 364

Guest Speaker:

Shari Ultman

Abstract:

Roughly speaking, a fibre bundle consists of a continuous map between topological spaces E (the total space) and B (the base space) such that the pre-image of any point is homeomorphic to a fixed space F (the fibre), and E locally looks like the product B x F. The bundle is also equipped with a structure group G, which plays a role in determining the topology of E. A vector bundle is a fibre bundle with fibre a vector space over some field K and structure group the general linear group over K. Vector bundles posses a number of nice attributes, including the existence of classifying spaces and characteristic classes, and a K-theory (a general cohomology theory). They are of interest to physicists as well as mathematicians. In this talk, we briefly introduce general and principal fibre bundles, and show how to construct the principal GLnR bundle associated to a given real vector bundle.