Talk:4-manifold

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Mathematics rating:	B Class	Top Priority	Field: Topology
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 00:55, 15 June 2007 (UTC)

Does anyone have a reference for the following claim maid in this article. (I thought it is still open).

Take a sum of m copies of II_{1,1} and 2n copies of E_8. If m \le 2n, then "Donaldson and Furuta proved" that no smooth structure exists. Katzmik 09:23, 9 May 2007 (UTC)

This is the 10/8 theorem, theorem 2 of a paper of Donaldson, The orientation of Yang-Mills moduli spaces and 4-manifolds topology, J. Diff. Geom. 26 (1987), 397–428.. Orthografer 17:59, 30 May 2007 (UTC)

Changed priority to top because our universe is at least 4 manifold! We need to understant this Daniel de França (talk) 19:21, 12 March 2008 (UTC)

Can someone give a reference about statement "For manifolds of dimension at most 6, any piecewise linear (PL) structure can be smoothed in an essentially unique way"? Omar.zanusso (talk) 15:10, 30 May 2008 (UTC)