Subject: question about SU(3)/SO(3)
From: Peter Landweber
Date: Mon, 7 Aug 2006 19:01:27 -0400
Here's a small question for the discussion group.
I believe it is known that the 5-manifold SU(3)/SO(3), which is simply
connected, represents a generator of the 5-dimensional unoriented
cobordism ring. In fact, I believe there is some reference for this fact,
which should include the further fact that the product of Stiefel-Whitney
classes w_2w_3 is nonzero. Having forgotten the reference, I hope
someone can remind me of such a reference, or give an argument for these
results.
Thanks!
Peter