Unstable splittings in Hodge filtered Brown–Peterson cohomology

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2018-09-27 DOI:10.1007/s40062-018-0215-5

Gereon Quick

引用次数: 0

Abstract

We construct Hodge filtered function spaces associated to infinite loop spaces. For Brown–Peterson cohomology, we show that the corresponding Hodge filtered spaces satisfy an analog of Wilson’s unstable splitting. As a consequence, we obtain an analog of Quillen’s theorem for Hodge filtered Brown–Peterson cohomology for complex manifolds.

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Hodge滤波Brown-Peterson上同中的不稳定分裂

构造了与无限循环空间相关的Hodge滤波函数空间。对于Brown-Peterson上同调，我们证明了相应的Hodge滤波空间满足类似的Wilson不稳定分裂。因此，我们得到了复流形的Hodge滤波Brown-Peterson上同调的Quillen定理的一个类比。

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.