同源性增长、超布尔化和纤维化

IF 2.4 1区数学 Q1 MATHEMATICS

Geometric and Functional Analysis Pub Date : 2024-02-14 DOI:10.1007/s00039-024-00667-w

Grigori Avramidi, Boris Okun, Kevin Schreve

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引用次数: 0

摘要

我们介绍了一种双曲反射群技巧，它可以从紧凑流形中构建封闭非球面流形，并保留双曲性、残余有限性，以及对于几乎所有素数p-(\mathbb{F} _{p}\)-高于中维的同调增长。我们利用这个技巧、嵌入理论和流形拓扑学来构造格罗莫夫双曲 7-manifolds，这些 7-manifolds不会从大有限群的图积中虚拟地纤维到圆上。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Homology Growth, Hyperbolization, and Fibering

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Homology Growth, Hyperbolization, and Fibering

We introduce a hyperbolic reflection group trick which builds closed aspherical manifolds out of compact ones and preserves hyperbolicity, residual finiteness, and—for almost all primes p—\(\mathbb{F} _{p}\)-homology growth above the middle dimension. We use this trick, embedding theory and manifold topology to construct Gromov hyperbolic 7-manifolds that do not virtually fiber over a circle out of graph products of large finite groups.

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来源期刊

Geometric and Functional Analysis 数学-数学

CiteScore

3.70

自引率

4.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Geometric And Functional Analysis (GAFA) publishes original research papers of the highest quality on a broad range of mathematical topics related to geometry and analysis. GAFA scored in Scopus as best journal in "Geometry and Topology" since 2014 and as best journal in "Analysis" since 2016. Publishes major results on topics in geometry and analysis. Features papers which make connections between relevant fields and their applications to other areas.