The coarse geometric p-Novikov conjecture for subspaces of nonpositively curved manifolds

Lin Shan; Qin Wang

doi:10.4171/JNCG/436

The coarse geometric ^p-Novikov conjecture for subspaces of nonpositively curved manifolds

Lin Shan
, Qin Wang

School of Mathematical Sciences

University of Puerto Rico

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we prove the coarse geometric l^p-Novikov conjecture for metric spaces with bounded geometry which admit a coarse embedding into a simply connected complete Riemannian manifold of nonpositive sectional curvature.

Original language	English
Pages (from-to)	1323-1354
Number of pages	32
Journal	Journal of Noncommutative Geometry
Volume	15
Issue number	4
DOIs	https://doi.org/10.4171/JNCG/436
State	Published - 2021

Keywords

Coarse geometric p-Novikov conjecture
Coarse geometry
Higher index
K-theory
Nonpositively curved manifold

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10.4171/JNCG/436

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title = "The coarse geometric p-Novikov conjecture for subspaces of nonpositively curved manifolds",

abstract = "In this paper, we prove the coarse geometric lp-Novikov conjecture for metric spaces with bounded geometry which admit a coarse embedding into a simply connected complete Riemannian manifold of nonpositive sectional curvature.",

keywords = "Coarse geometric p-Novikov conjecture, Coarse geometry, Higher index, K-theory, Nonpositively curved manifold",

author = "Lin Shan and Qin Wang",

note = "Publisher Copyright: {\textcopyright} 2021 European Mathematical Society Published by EMS Press This work is licensed under a CC BY 4.0 license",

year = "2021",

doi = "10.4171/JNCG/436",

language = "英语",

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AU - Wang, Qin

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AB - In this paper, we prove the coarse geometric lp-Novikov conjecture for metric spaces with bounded geometry which admit a coarse embedding into a simply connected complete Riemannian manifold of nonpositive sectional curvature.

KW - Coarse geometric p-Novikov conjecture

KW - Coarse geometry

KW - Higher index

KW - K-theory

KW - Nonpositively curved manifold

UR - https://www.scopus.com/pages/publications/85123802919

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DO - 10.4171/JNCG/436

M3 - 文章

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SN - 1661-6952

VL - 15

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EP - 1354

JO - Journal of Noncommutative Geometry

JF - Journal of Noncommutative Geometry

IS - 4

ER -

The coarse geometric ^p-Novikov conjecture for subspaces of nonpositively curved manifolds

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Keywords

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