• Corpus ID: 36079049

Positive topological field theories and manifolds of dimension 5

  title={Positive topological field theories and manifolds of dimension 5},
  author={Matthias Kreck and Peter Teichner},
AbstractInthis paperwe answeraquestionofMikeFreedman, regardingtheefficiencyofpositive topological field theories as invariants of smooth manifolds in dimensions >4. We show that simply connected closed 5-manifolds can be distinguished bysuch invariants. Using Barden’s classification, this follows from our observationthat homology groups and the vanishing of cohomology operations with finitecoefficients are detected by positive topological field theories. Moreover, we provethat in the non-simply… 
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