Complex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups
by
A. Baker
Coauthors: C. Özel

We develop a version of Quillen's geometric cobordism theory for infinite dimensional separable Hilbert manifolds. This cobordism theory has a graded group structure under the topological union operation and has push-forward maps for Fredholm maps. We discuss transversal approximations and products, and the contravariant property of this cobordism theory. We define Euler classes for finite dimensional complex vector bundles and describe some applications to the complex cobordism of flag varieties of loop groups.

Date received: June 15, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabc-34.