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I am trying to understand why the following expression is a homotopy invariant.
Start with 2 closed 1 forms whose wedge product is null homologous.
w1^w2 + dw12 = 0
I want to understand why
\int w_ {1}w_ {2} + \int w_ {12}
is a homotopy invariant of smooth paths where
\int w_{1}w_{2}
is the iterated integral of the two 1 forms along the path
Start with 2 closed 1 forms whose wedge product is null homologous.
w1^w2 + dw12 = 0
I want to understand why
\int w_ {1}w_ {2} + \int w_ {12}
is a homotopy invariant of smooth paths where
\int w_{1}w_{2}
is the iterated integral of the two 1 forms along the path
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