Bilkent University Logo

Bilkent University

Online Academic Catalog

Undergraduate and Graduate Programs 2023-2024

MATH 612 Fibre Bundles I

A review of homotopy theory; obstruction theory. Vector bundles as a special case of Steenrod bundles; the principal bundle and associated fibrations. Characteristic classes as first obstructions; basic properties, Cartan's formula. The rings of characteristic classes. The splitting principle and further properties. Characteristic classes and manifolds; applications to cobordisms (Thom's theorem). An introduction to Schubert calculus. The topological Riemann-Roch theorem. Credit units: 3 ECTS Credit units: 5.

Bilkent University Main Page

Last regenerated automatically on July 22, 2024 by OAC - Online Academic Catalog Software