A short note on 𝜋₁(𝐷𝑖𝑓𝑓_{∂}𝐷^{4𝑘}) for 𝑘≥3

IF 0.8 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society Pub Date : 2024-05-11 DOI:10.1090/proc/16908

Wei Wang

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引用次数: 0

Abstract

Let Diff ∂ ⁡ ( D n ) \operatorname {Diff}_{\partial }(D^{n}) be the topological group of diffeomorphisms of D n D^{n} which agree with the identity near the boundary. In this short note, we compute the fundamental group π 1 Diff ∂ ⁡ ( D 4 k ) \pi _1 \operatorname {Diff}_{\partial }(D^{4k}) for k ≥ 3 k\geq 3 .

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关于𝜋₁(𝐷𝑖𝑓𝑓_{∂}𝐷^{4𝑘})的简短说明，适用于 𝑘≥3

让 Diff ∂ ( D n ) （operatorname {Diff}_{\partial }(D^{n}）是 D n D^{n} 的差分变形的拓扑群，它与边界附近的同一性一致。在这篇短文中，我们计算了 k ≥ 3 k\geq 3 时的基群 π 1 Diff ∂ ( D 4 k ) \pi _1 \operatorname {Diff}_{\partial }(D^{4k}) 。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the American Mathematical Society 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

207

审稿时长

2-4 weeks

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