Evaluation subgroups of a map and the rationalized G -sequence

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Submitted: 2024-12-05; Published: 2024-12-05

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Abstract

In this paper, we determine, in terms of the Sullivan models, rational evaluation subgroups of the inclusion CP(n)↪CP(n+k)CP(n)↪CP(n+k) between complex projective spaces and, more generally, the GG-sequence of the homotopy monomorphism ι:X↪Yι:X↪Y between simply connected formal homogeneous spaces for which π∗(Y)⊗Qπ∗(Y)⊗Q is finite-dimensional.