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I am interesting in the notion of cobordism. In particular, I want to understand Smale's proof of Poincare conjecture in higher dimention. In a webpage, I knew that the proof is followed by h-cobordism shortly. However, I do not notice that proof.

Please tell me how to proof it. I like simple proof diagramatic and know h-cobordism theorem.

Thank you for your considerations.

flag	asked Nov 23 2011 at 13:32 muta yasushi 109●1●4

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Why don't you take a look at Milnor's "Lectures on the h-cobordism theorem". As with everything written by him, it's a great read! – Somnath Basu Nov 23 2011 at 13:42

Kosinski's textbook is also a good book to read with Milnor's notes. – Ryan Budney Nov 23 2011 at 14:07

Thanks a lot. I have not ever read these book. I try! – muta yasushi Nov 23 2011 at 14:15

The thing I don't like about Milnor's notes is that he scrupulously avoids talking about handles, always working directly with the Morse function. – Jim Conant Nov 26 2011 at 16:15

Thanks.I will be careful a little. – muta yasushi Nov 26 2011 at 17:53

Kevin Walker · Accepted Answer · 2011-11-24 01:05:45Z UTC

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In order to prevent this question from resurfacing periodically due to the lack of an answer, here's a summary of the answers that are in the comments.

Milnor's "Lectures on the h-cobordism theorem"
Kosinski's "Differential Manifolds"

answered Nov 24 2011 at 1:05

Kevin Walker

community wiki

Thanks. I have just discovered that Milnor's note have a proof of Poincare conjecture in higher dimension. – muta yasushi Nov 24 2011 at 10:02

Generalized Poincare conjecture from h-cobordism

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