HIGHER RHO INVARIANT AND DELOCALIZED ETA INVARIANT AT INFINITY

Xiaoman Chen; Hongzhi Liu; Hang Wang; Guoliang Yu

doi:10.4310/AJM.2022.V26.N2.A5

HIGHER RHO INVARIANT AND DELOCALIZED ETA INVARIANT AT INFINITY

Xiaoman Chen^*
, Hongzhi Liu
, Hang Wang
, Guoliang Yu

^*此作品的通讯作者

数学科学学院

Fudan University
Shanghai University of Finance and Economics
Texas A&M University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, we introduce several new secondary invariants for Dirac operators on a complete Riemannian manifold with a uniform positive scalar curvature metric outside a compact set and use these secondary invariants to establish a higher index theorem for the Dirac operators.

源语言	英语
页（从-至）	257-288
页数	32
期刊	Asian Journal of Mathematics
卷	26
期	2
DOI	https://doi.org/10.4310/AJM.2022.V26.N2.A5
出版状态	已出版 - 2022

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10.4310/AJM.2022.V26.N2.A5

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title = "HIGHER RHO INVARIANT AND DELOCALIZED ETA INVARIANT AT INFINITY",

abstract = "In this paper, we introduce several new secondary invariants for Dirac operators on a complete Riemannian manifold with a uniform positive scalar curvature metric outside a compact set and use these secondary invariants to establish a higher index theorem for the Dirac operators.",

keywords = "Dirac operator, delocalized eta invariant at infinity, higher index, higher rho invariant at infinity, polynomial growth conjugacy class, uniform positive scalar curvature",

author = "Xiaoman Chen and Hongzhi Liu and Hang Wang and Guoliang Yu",

note = "Publisher Copyright: {\textcopyright} 2022 International Press",

year = "2022",

doi = "10.4310/AJM.2022.V26.N2.A5",

language = "英语",

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T1 - HIGHER RHO INVARIANT AND DELOCALIZED ETA INVARIANT AT INFINITY

AU - Chen, Xiaoman

AU - Liu, Hongzhi

AU - Wang, Hang

AU - Yu, Guoliang

PY - 2022

Y1 - 2022

N2 - In this paper, we introduce several new secondary invariants for Dirac operators on a complete Riemannian manifold with a uniform positive scalar curvature metric outside a compact set and use these secondary invariants to establish a higher index theorem for the Dirac operators.

AB - In this paper, we introduce several new secondary invariants for Dirac operators on a complete Riemannian manifold with a uniform positive scalar curvature metric outside a compact set and use these secondary invariants to establish a higher index theorem for the Dirac operators.

KW - Dirac operator

KW - delocalized eta invariant at infinity

KW - higher index

KW - higher rho invariant at infinity

KW - polynomial growth conjugacy class

KW - uniform positive scalar curvature

UR - https://www.scopus.com/pages/publications/85151035594

U2 - 10.4310/AJM.2022.V26.N2.A5

DO - 10.4310/AJM.2022.V26.N2.A5

M3 - 文章

AN - SCOPUS:85151035594

SN - 1093-6106

VL - 26

SP - 257

EP - 288

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

IS - 2

ER -

HIGHER RHO INVARIANT AND DELOCALIZED ETA INVARIANT AT INFINITY

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