Characteristic Classes
This semester, the goal is to work through the text "Characteristic Classes" by Milnor and Stasheff.
Schedule:
9/2 Luis - Smooth Manifolds, Vector Bundles, + Constructing New From Old [Notes]
9/9 Cas - Steifel-Whitney Classes [Notes]
9/16 Amy - Grassmanian Manifolds and Universal Bundles [Notes]
9/23 Jayden - A Cell Structure for Grassmanian Manifolds [Notes]
9/29* Jayden - The Cohomology Ring
10/7 Cas - Oriented Bundles and the Euler Class [Notes]
10/14 Abhishek - Thom Isomorphism Theorem [Notes] [See other References]
10/21 Aru - Computations [Notes]
10/28 Andrew - Obstructions
11/4 Jacob - C-vector bundles and C-manifolds + Chern Classes
11/11 Remy - Pontryagin Classes + Chern&Pontryagin Numbers
11/18 Andrew - Oriented Cobordism Ring
Other References:
Milnor and Stasheff, TeXromanced (Courtesy of Abhishek Shivkumar)
Thom Isomorphism Theorem (Courtesy of Saad Slaoui)