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Twisted K-theory and obstructions against positive scalar curvature metrics

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Publication:2877705
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DOI10.1017/is014003008jkt259zbMath1305.19004arXiv1108.3701OpenAlexW2064386407MaRDI QIDQ2877705

Ulrich Pennig

Publication date: 25 August 2014

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3701


zbMATH Keywords

positive scalar curvatureindex theoryenlargeable manifoldDirace operatortwisted \(K\)-Theorytwisted index obstruction


Mathematics Subject Classification ID

Index theory (19K56) Twisted (K)-theory; differential (K)-theory (19L50)


Related Items

Twisted character varieties, covering spaces, and gerbes



Cites Work

  • Unnamed Item
  • Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
  • \(C^ *\)-algebras, positive scalar curvature, and the Novikov conjecture. III
  • Spin and scalar curvature in the presence of a fundamental group. I
  • A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture
  • Gerbes, Clifford modules and the index theorem
  • Twisted \(K\)-theory and \(K\)-theory of bundle gerbes
  • Simply connected manifolds of positive scalar curvature
  • Enlargeability and index theory: infinite covers
  • Graded Brauer groups and K-theory with local coefficients
  • Bundle Gerbes
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