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In 1996 I was the Ulam Visiting Professor at the University of Colorado, Boulder. While I was there I gave a series of graduate lectures on high-dimensional manifold theory, which I whimsically titled Surgery for Amateurs. The title was … Continue reading
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Some TeXnicalities
Some of my students in Math 497C wanted me to divide my lecture notes into individual printouts, one for each lecture. It is obviously a good idea to do that, but I had never tried it before because there is … Continue reading
Manifolds = Bundles + Handles
The slogan in the title is one that I came up with for the book (or at least I think I did, though of course I may have stolen it from somewhere that I have now forgotten). In my opinion … Continue reading
Characteristic Classes
The next section of the book, available here, gives a very quick introduction to what the Pontrjagin classes are. This is really just a refresher – I am sure it is too terse for someone who has never seen characteristic … Continue reading
What Surgery Is About: Manifolds
Now I’ll begin to post material from the book proper. Here is the first section of Chapter I. I’m going to try to post stuff in bite-size pieces like this, rather than a whole chapter at a time. Of course, … Continue reading