Spectral triples and manifolds with boundary

Bruno Iochum; Cyril Olivier Levy

doi:10.1016/j.jfa.2010.09.006

Spectral triples and manifolds with boundary

Bruno Iochum, Cyril Olivier Levy

Institut for Matematiske Fag

7 Citationer (Scopus)

Abstract

We investigate manifolds with boundary in noncommutative geometry. Spectral triples associated to a symmetric differential operator and a local boundary condition are constructed. We show that there is no tadpole for classical Dirac operators with a chiral boundary condition on spin manifolds.

Originalsprog	Engelsk
Tidsskrift	Journal of Functional Analysis
Vol/bind	260
Udgave nummer	1
Sider (fra-til)	117-134
ISSN	0022-1236
DOI	https://doi.org/10.1016/j.jfa.2010.09.006
Status	Udgivet - 1 jan. 2011

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10.1016/j.jfa.2010.09.006

Citationsformater

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title = "Spectral triples and manifolds with boundary",

abstract = "We investigate manifolds with boundary in noncommutative geometry. Spectral triples associated to a symmetric differential operator and a local boundary condition are constructed. We show that there is no tadpole for classical Dirac operators with a chiral boundary condition on spin manifolds.",

author = "Bruno Iochum and Levy, {Cyril Olivier}",

year = "2011",

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doi = "10.1016/j.jfa.2010.09.006",

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journal = "Journal of Functional Analysis",

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AU - Iochum, Bruno

AU - Levy, Cyril Olivier

PY - 2011/1/1

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N2 - We investigate manifolds with boundary in noncommutative geometry. Spectral triples associated to a symmetric differential operator and a local boundary condition are constructed. We show that there is no tadpole for classical Dirac operators with a chiral boundary condition on spin manifolds.

AB - We investigate manifolds with boundary in noncommutative geometry. Spectral triples associated to a symmetric differential operator and a local boundary condition are constructed. We show that there is no tadpole for classical Dirac operators with a chiral boundary condition on spin manifolds.

U2 - 10.1016/j.jfa.2010.09.006

DO - 10.1016/j.jfa.2010.09.006

M3 - Journal article

SN - 0022-1236

VL - 260

SP - 117

EP - 134

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

Spectral triples and manifolds with boundary

Abstract

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