On the K(1)-local homotopy of \(\mathrm {tmf}\wedge \mathrm {tmf}\)

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2021-07-20 DOI:10.1007/s40062-021-00283-7

Dominic Leon Culver, Paul VanKoughnett

引用次数: 0

Abstract

As a step towards understanding the \(\mathrm {tmf}\)-based Adams spectral sequence, we compute the K(1)-local homotopy of \(\mathrm {tmf}\wedge \mathrm {tmf}\), using a small presentation of \(L_{K(1)}\mathrm {tmf}\) due to Hopkins. We also describe the K(1)-local \(\mathrm {tmf}\)-based Adams spectral sequence.

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的K(1)-局部同伦 \(\mathrm {tmf}\wedge \mathrm {tmf}\)

作为理解基于\(\mathrm {tmf}\)的Adams谱序列的一步，我们计算了\(\mathrm {tmf}\wedge \mathrm {tmf}\)的K(1)-局部同伦，使用了Hopkins的\(L_{K(1)}\mathrm {tmf}\)的一个小演示。我们还描述了基于K(1)局部\(\mathrm {tmf}\)的Adams谱序列。

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

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.