椭圆上同调在同伦以内是唯一的

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of the Australian Mathematical Society Pub Date : 2021-06-14 DOI:10.1017/S1446788722000209

J. M. Davies

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引用次数: 4

摘要

摘要:同伦理论民俗告诉我们，定义拓扑模形式的上同伦理论$\operatorname {\mathrm {Tmf}}$的序列在同伦以内是唯一的。在这里，我们提供了这一事实的证明，虽然我们声称没有原创性的说法。这回溯性地协调了$\operatorname {\mathrm {Tmf}}$之前的所有结构。

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ELLIPTIC COHOMOLOGY IS UNIQUE UP TO HOMOTOPY

Abstract Homotopy theory folklore tells us that the sheaf defining the cohomology theory $\operatorname {\mathrm {Tmf}}$ of topological modular forms is unique up to homotopy. Here we provide a proof of this fact, although we claim no originality for the statement. This retroactively reconciles all previous constructions of $\operatorname {\mathrm {Tmf}}$ .

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来源期刊

Journal of the Australian Mathematical Society 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of the Australian Mathematical Society is the oldest journal of the Society, and is well established in its coverage of all areas of pure mathematics and mathematical statistics. It seeks to publish original high-quality articles of moderate length that will attract wide interest. Papers are carefully reviewed, and those with good introductions explaining the meaning and value of the results are preferred. Published Bi-monthly Published for the Australian Mathematical Society