Kyungpook Mathematical Journal

  • 제63권1호
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  • Pages.131-139
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  • 2023
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Evaluation Subgroups of Mapping Spaces over Grassmann Manifolds

  • Abdelhadi Zaim (Department of Mathematics and Computer Sciences, Faculty of Sciences Ain Chock, University Hassan II)
  • 투고 : 2021.11.13
  • 심사 : 2022.05.09
  • 발행 : 2023.03.31
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초록

Let Vk,n (ℂ) denote the complex Steifel and Grk,n (ℂ) the Grassmann manifolds for 1 ≤ k < n. In this paper, we compute, in terms of the Sullivan minimal models, the evaluation subgroups and, more generally, the relative evaluation subgroups of the fibration p : Vk,k+n (ℂ) → Grk,k+n (ℂ). In particular, we prove that G* (Grk,k+n (ℂ), Vk,k+n (ℂ) ; p) is isomorphic to Grel* (Grk,k+n (ℂ), Vk,k+n (ℂ) ; p) ⊕ G* (Vk,k+n (ℂ)).

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과제정보

The author is very grateful to the referee for carefully reading the manuscript and his helpful suggestions.

참고문헌

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