The cohomology of certain function spaces
The cohomology of certain function spaces
We study a spectral sequence converging to the cohomology of the configuration space of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n"> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding="application/x-tex">n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> ordered points in a manifold. A chain complex is constructed with homology equal to the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E 2"> <mml:semantics> <mml:mrow …