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Differential Topology II

MATH 7852.02: Differential Topology II

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: Post-candidacy in Math, and permission of instructor. This course is graded S/U.
Credit Hours