Rationalized evaluation subgroups of the complex Hopf fibration
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In this paper, we compute the rational evaluation subgroup of the Hopf fibration $ S^{2n+1}\hookrightarrow \C P(n). $ We show that, for the Sullivan model $ \phi:A\rightarrow B, $ where $ A $ and $ B $ are the minimal Sullivan models of $ \C P(n) $ and $ S^{2n+1} $ respectively, the evaluation subgroup $ G_{n}(A,B;\phi) $ and the relative evaluation subgroup $ G_{n}^{rel}(A,B;\phi) $ of $ \phi $ are generated by single elements.
Abstract
In this paper, we compute the rational evaluation subgroup of the Hopf fibration $ S^{2n+1}\hookrightarrow \C P(n). $ We show that, for the Sullivan model $ \phi:A\rightarrow B, $ where $ A $ and $ B $ are the minimal Sullivan models of $ \C P(n) $ and $ S^{2n+1} $ respectively, the evaluation subgroup $ G_{n}(A,B;\phi) $ and the relative evaluation subgroup $ G_{n}^{rel}(A,B;\phi) $ of $ \phi $ are generated by single elements.
참고문헌 (8)
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