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edited tags (since the previous ones were all new)
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Ricardo Andrade
Ricardo Andrade
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From a connection 1-form on $M$, I can construct a parallel transport from from which in turn I can construct a classifying map M --> BG$M \to BG$. Is there a construction of such a classifying map directly from a connection 1-form?

From a connection 1-form, I can construct a parallel transport from which in turn I can construct a classifying map M --> BG. Is there a construction of such a classifying map directly from a connection 1-form?

From a connection 1-form on $M$, I can construct a parallel transport from which in turn I can construct a classifying map $M \to BG$. Is there a construction of such a classifying map directly from a connection 1-form?

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Jim Stasheff
Jim Stasheff
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Construction of a classifying map from a connection 1-form

From a connection 1-form, I can construct a parallel transport from which in turn I can construct a classifying map M --> BG. Is there a construction of such a classifying map directly from a connection 1-form?