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

^*Corresponding author for this work

School of Mathematical Sciences

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

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.

Original language	English
Pages (from-to)	257-288
Number of pages	32
Journal	Asian Journal of Mathematics
Volume	26
Issue number	2
DOIs	https://doi.org/10.4310/AJM.2022.V26.N2.A5
State	Published - 2022

Keywords

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

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10.4310/AJM.2022.V26.N2.A5

Cite this

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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",

volume = "26",

pages = "257--288",

journal = "Asian Journal of Mathematics",

issn = "1093-6106",

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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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Keywords

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