Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary

Johnny Lim; Hang Wang

doi:10.1007/s00209-022-03091-8

Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary

Johnny Lim^*
, Hang Wang

^*此作品的通讯作者

数学科学学院

School of Mathematical Sciences
Universiti Sains Malaysia

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

In this paper, we establish an equivariant version of Dai–Zhang’s Toeplitz index theorem for compact odd-dimensional spin manifolds with even-dimensional boundary.

源语言	英语
页（从-至）	1035-1060
页数	26
期刊	Mathematische Zeitschrift
卷	302
期	2
DOI	https://doi.org/10.1007/s00209-022-03091-8
出版状态	已出版 - 10月 2022

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10.1007/s00209-022-03091-8

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title = "Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary",

abstract = "In this paper, we establish an equivariant version of Dai{\textendash}Zhang{\textquoteright}s Toeplitz index theorem for compact odd-dimensional spin manifolds with even-dimensional boundary.",

keywords = "Equivariant index theorem, Equivariant spectral flow, Equivariant η-invariant, Toeplitz operator",

author = "Johnny Lim and Hang Wang",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2022",

month = oct,

doi = "10.1007/s00209-022-03091-8",

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AB - In this paper, we establish an equivariant version of Dai–Zhang’s Toeplitz index theorem for compact odd-dimensional spin manifolds with even-dimensional boundary.

KW - Equivariant index theorem

KW - Equivariant spectral flow

KW - Equivariant η-invariant

KW - Toeplitz operator

UR - https://www.scopus.com/pages/publications/85135816859

U2 - 10.1007/s00209-022-03091-8

DO - 10.1007/s00209-022-03091-8

M3 - 文章

AN - SCOPUS:85135816859

SN - 0025-5874

VL - 302

SP - 1035

EP - 1060

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 2

ER -

Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary

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