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

^*Corresponding author for this work

School of Mathematical Sciences

Universiti Sains Malaysia

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

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1035-1060
Number of pages	26
Journal	Mathematische Zeitschrift
Volume	302
Issue number	2
DOIs	https://doi.org/10.1007/s00209-022-03091-8
State	Published - Oct 2022

Keywords

Equivariant index theorem
Equivariant spectral flow
Equivariant η-invariant
Toeplitz operator

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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–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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AU - Wang, Hang

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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

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EP - 1060

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 2

ER -

Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary

Abstract

Keywords

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