Note for Seminar in Characteristic Class Theory(Latex typed)

This note is about characteristic class theory in topology and differential geometry.
Reference:
  1. Characteristic Class by Milnor(for the first part)
  2. Differential Geometry of Complex Vector Bundles by Kobayashi(for preliminaries to complex geometry, Chern class)
  3. GTM82 by Loring Tu(for integral on fibers, etc.)
  4. Geometry and Analysis on Manifold by Zhang Weiping(for Berezin integral, Gauss-Bonnet-Chern theorem, Kervaire semi-character, Atiyah-Singer theorem).