动机亚当斯猜想

IF 1.1 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2025-06-04 DOI:10.1112/topo.70026

Alexey Ananyevskiy, Elden Elmanto, Oliver Röndigs, Maria Yakerson

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引用次数: 0

摘要

利用基场逆的指数特性，求解了Adams猜想的一个动力版本。在证明的过程中，我们得到了k$ k$ Dold定理的一个动机版本，并给出了研究齐次变量（ngl r T）的Brown技巧的一个动机版本)} GL r$ (N_{\ mathm {GL}_r} T)\反斜杠\ mathm {GL}_r$结果证明不是稳定的A 1$ \mathbf {A}^1$ -连接。我们还证明了高动力稳定系统具有有界扭转。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

The motivic Adams conjecture

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The motivic Adams conjecture

We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof,, we obtain a motivic version of mod $k$ Dold theorem and give a motivic version of Brown's trick studying the homogeneous variety $(N_{{GL}_{r}} T) ∖ {GL}_{r}$ which turns out to be not stably $A^{1}$ -connected. We also show that the higher motivic stable stems are of bounded torsion.

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.