Topics in Topology: Characteristic Classes and Applications
MAT 569
1254
1254
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In this course, we study real and complex vector bundles, their characteristic classes and various applications. These include Stiefel-Whitney classes, Chern classes, Pontrjagin classes, the splitting principle, classifying spaces, Grassmanians, Hirzebruch's signature theorem, and the 7-dimensional exotic spheres of Milnor. Additional topics may include Morse Theory, the h-cobordism Theorem, and the Poincare Conjecture in higher dimensions.
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Section C01
- Type: Class
- Section: C01
- Status: O
- Enrollment: 3
- Capacity: 24
- Class Number: 42365
- Schedule: TTh 01:30 PM-02:50 PM - Fine Hall 1201