DeRahm and Cech cohomology; deRahm Theorem; Grassmannians; Stiefel-Whitney, Euler, Chern, and Pontryagin classes; Gysin sequence, Thom isomorphism; characteristic numbers, multiplicative sequences, Hirzebruch signature theorem; Chern-Weil Theory.
Prereq: 6702 and 6802 and 7851.01. Not open to students with credit for 7852.02.
Credit Hours:
3.0
Recommended Textbooks
Title: Differential Topology
Author: Hirsch
Publisher: Springer
ISBN: 9780387901480
Title: Topology from the Differentiable Viewpoint
Author: Milnor
Publisher: Princton
ISBN: 9780691048338
Title: Differential Topology
Author: Guillemin & Pollack
Publisher: AMS
ISBN: 9780821851937
Textbook
Title:
No textbook required