Category Archives: Book

About this site

  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

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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

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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

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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

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Book Preface

To get started, I am posting the preface to Surgery for Amateurs as I drafted it last time I wrote, in about 2005. Here is the link. Comments are welcome!  

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