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Extending a d-cohomology class to D-cocycle

  1. Nov 12, 2011 #1
    Hi!The details is in the attached file.

    I don't understand the sentence which is bolded,why if we extend the D-cochain to a D-cocycle,then we can get a global form which restricts to the d-cohomology class?

    Any hints?Thank you!:smile:
     

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  2. jcsd
  3. Nov 14, 2011 #2
    Maybe I ignore to explain that [itex]\pi:E\rightarrow M[/itex] is a sphere bundle with structure group [itex]Diff (S^n)[/itex]
     
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