Displaying similar documents to “Properties of a hypothetical exotic complex structure on ℂ P 3 ”

The complex oriented cohomology of extended powers

John Robert Hunton (1998)

Annales de l'institut Fourier

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We examine the behaviour of a complex oriented cohomology theory G * ( - ) on D p ( X ) , the C p -extended power of a space X , seeking a description of G * ( D p ( X ) ) in terms of the cohomology G * ( X ) . We give descriptions for the particular cases of Morava K -theory K ( n ) for any space X and for complex cobordism M U , the Brown-Peterson theories BP and any Landweber exact theory for a wide class of spaces.

Novikov homology, jump loci and Massey products

Toshitake Kohno, Andrei Pajitnov (2014)

Open Mathematics

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Let X be a finite CW complex, and ρ: π 1(X) → GL(l, ℂ) a representation. Any cohomology class α ∈ H 1(X, ℂ) gives rise to a deformation γ t of ρ defined by γ t (g) = ρ(g) exp(t〈α, g〉). We show that the cohomology of X with local coefficients γ gen corresponding to the generic point of the curve γ is computable from a spectral sequence starting from H*(X, ρ). We compute the differentials of the spectral sequence in terms of the Massey products and show that the spectral sequence degenerates...