拓扑Pontryagin类的代数独立性

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2022-08-24 DOI:10.1515/crelle-2023-0051

Søren Galatius, O. Randal-Williams

引用次数: 3

摘要

证明了拓扑Pontryagin类在B ^ Top ^ (d)的有理上同调中是代数独立的。 {b\mathrm{Top}(d)} 对于所有d≥4 {d\geq 4} ．

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Algebraic independence of topological Pontryagin classes

Abstract We show that the topological Pontryagin classes are algebraically independent in the rationalised cohomology of B ⁢ Top ⁢ ( d ) {B\mathrm{Top}(d)} for all d ≥ 4 {d\geq 4} .

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来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.