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enlargeable manifold

Journal of K-Theory (1)

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Twisted K-theory and obstructions against positive scalar curvature metrics
Ulrich Pennig
Journal:

Journal of K-Theory / Volume 14 / Issue 1 / August 2014

Published online by Cambridge University Press:

17 April 2014, pp. 47-71

Print publication:

August 2014
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We decompose θ(M), the twisted index obstruction to a positive scalar curvature metric for closed oriented manifolds with spin universal cover, into a pairing of a twisted K-homology with a twisted K-theory class and prove that θ(M) does not vanish if M is a closed orientable enlargeable manifold with spin universal cover.