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Flat circle bundles, pullbacks, and the circle made discrete
release_2k223v7oyngklpap4bt4rhabdi
by
John Oprea,
Daniel Tanré
Published
in International Journal of Mathematics and Mathematical Sciences
by Hindawi Limited.
2005 Volume 2005, Issue 21, p3487-3495
Abstract
We use basic homotopical methods applied to Lie groups made discrete to prove that the real Euler class of a circle bundle vanishes if and only if the bundle is flat.
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