[The Wikipedia article on surgery theory][1] explains this! In addition, the Edinburgh [Surgery Theory Study Group][2] provides all kinds of surgery-related materials, including [YouTube videos][3] (not for the squeamish). There is all kinds of surgery bric-a-brac on [Surgery Bits and Pieces][4] and also [here][5]. [1]: http://en.wikipedia.org/wiki/Surgery_theory [2]: http://www.maths.ed.ac.uk/~s1057008//surgerygroup/ [3]: http://www.youtube.com/user/SurgeryGroup [4]: http://www.maths.ed.ac.uk/~aar/surgery/ages.htm [5]: http://www.maths.ed.ac.uk/~aar/surgery/notes.htm