Extending a d-cohomology class to D-cocycle

  • Thread starter kakarotyjn
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  • #1
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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
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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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