Characteristic Classes
نویسنده
چکیده
These are lecture notes for a series of five lectures I gave to other graduate students about characteristic classes through UT Austin’s summer minicourse program (see https://www.ma.utexas.edu/users/ richard.wong/Minicourses.html for more details). Beware of potential typos. In these notes I cover the basic theory of Stiefel-Whitney, Wu, Chern, Pontrjagin, and Euler classes, introducing some interesting topics in algebraic topology along the way. In the last section the Hirzebruch signature theorem is introduced as an application. Many proofs are left out to save time. There are many exercises, which emphasize getting experience with characteristic class computations. Don’t do all of them; you should do enough to make you feel comfortable with the computations, focusing on the ones interesting or useful to you.
منابع مشابه
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