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

Department of Mathematical Sciences

7 Citations (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.

Original language	English
Journal	Journal of Functional Analysis
Volume	260
Issue number	1
Pages (from-to)	117-134
ISSN	0022-1236
DOIs	https://doi.org/10.1016/j.jfa.2010.09.006
Publication status	Published - 1 Jan 2011

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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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AU - Iochum, Bruno

AU - Levy, Cyril Olivier

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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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