Geometrization of the Strong Novikov Conjecture for residually finite groups

Guihua Gong; Qin Wang; Guoliang Yu

doi:10.1515/CRELLE.2008.061

Geometrization of the Strong Novikov Conjecture for residually finite groups

Guihua Gong^*
, Qin Wang
, Guoliang Yu

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

46 引用（Scopus）

摘要

In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.

源语言	英语
页（从-至）	159-189
页数	31
期刊	Journal fur die Reine und Angewandte Mathematik
期	621
DOI	https://doi.org/10.1515/CRELLE.2008.061
出版状态	已出版 - 8月 2008
已对外发布	是

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abstract = "In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.",

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AB - In this paper, we prove that the Strong Novikov Conjecture for a residually finite group is essentially equivalent to the Coarse Geometric Novikov Conjecture for a certain metric space associated to the group. As an application, we obtain the Coarse Geometric Novikov Conjecture for a large class of sequences of expanders.

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M3 - 文章

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Geometrization of the Strong Novikov Conjecture for residually finite groups

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