Spectral Flow Argument Localizing an Odd Index Pairing

被引：6

作者：

Loring, Terry A. ^{[1
]}

Schulz-Baldes, Hermann ^{[2
]}

机构：

[1] Univ New Mexico, Albuquerque, NM 87131 USA

[2] Friedrich Alexander Univ Erlangen Nuernberg, Dept Math, D-91058 Erlangen, Germany

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2019年 / 62卷 / 02期

关键词：

index pairing; spectral flow; topological materials; K-THEORY;

D O I：

10.4153/CMB-2018-013-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An odd Fredholm module for a given invertible operator on a Hilbert space is specified by an unbounded so-called Dirac operator with compact resolvent and bounded commutator with the given invertible. Associated with this is an index pairing in terms of a Fredholm operator with Noether index. Here it is shown by a spectral flow argument how this index can be calculated as the signature of a finite dimensional matrix called the spectral localizer.

引用

页码：373 / 381

页数：9

共 50 条

[1] Relative index pairing and odd index theorem for even dimensional manifolds
Xie, Zhizhang
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (07) : 2064 - 2085
[2] Pairing effect on spectral statistics of even and odd mass nuclei
H. Sabri
B. Rashidian Maleki
J. Fouladi
N. Fouladi
M. A. Jafarizadeh
[J]. The European Physical Journal Plus, 128
[3] Pairing effect on spectral statistics of even and odd mass nuclei
Sabri, H.
Maleki, B. Rashidian
Fouladi, J.
Fouladi, N.
Jafarizadeh, M. A.
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2013, 128 (06):
[4] Spectral flow and resonance index
Azamov, Nurulla
[J]. DISSERTATIONES MATHEMATICAE, 2017, (528) : 1 - 89
[5] THE SPECTRAL FLOW AND THE MASLOV INDEX
ROBBIN, J
SALAMON, D
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1995, 27 : 1 - 33
[6] THE ODD CHERN CHARACTER IN CYCLIC HOMOLOGY AND SPECTRAL FLOW
GETZLER, E
[J]. TOPOLOGY, 1993, 32 (03) : 489 - 507
[7] EISENHOWER and NIXON: AN ODD PAIRING
Donohue, Keith
Frank, Jeffrey
[J]. PROLOGUE-QUARTERLY OF THE NATIONAL ARCHIVES AND RECORDS ADMINISTRATION, 2013, 44 (04): : 54 - 55
[8] ODD FREQUENCY PAIRING IN SUPERCONDUCTORS
SCHRIEFFER, JR
BALATSKY, AV
ABRAHAMS, E
SCALAPINO, DJ
[J]. JOURNAL OF SUPERCONDUCTIVITY, 1994, 7 (03): : 501 - 504
[9] Interactionism, haecceities, and the pairing argument
Saad, Bradford
[J]. INQUIRY-AN INTERDISCIPLINARY JOURNAL OF PHILOSOPHY, 2017, 60 (07): : 724 - 741
[10] The spectral flow of the odd signature operator and higher Massey products
Kirk, PA
Klassen, EP
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1997, 121 : 297 - 320

← 1 2 3 4 5 →