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Sullivan model of complex projective space

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Contents

Statement

The Sullivan model of complex projective space P n\mathbb{C}P^n is

[f 2,h 2n+1]/(df 2 =0 dh 2n+1 =(f 2) n+1) \mathbb{R} [ f_2, h_{2n+1} ] \big/ \left( \begin{aligned} d\,f_2 & = 0 \\ d\,h_{2n+1} & = (f_2)^{n+1} \end{aligned} \right)

(e.g. Félix-Halperin-Thomas 00, p. 203, Menichi 13, 5.3)

Examples of Sullivan models in rational homotopy theory:

References

Created on August 6, 2020 at 14:25:48. See the history of this page for a list of all contributions to it.