A dirac type operator on the non-commutative disk

Alan L. Carey; Slawomir Klimek; Krzysztof P. Wojciechowski

doi:10.1007/s11005-010-0391-7

A dirac type operator on the non-commutative disk

Alan L. Carey, Slawomir Klimek^*, Krzysztof P. Wojciechowski

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

We study an example of the index problem for a Dirac-like operator subject to Atiyah-Patodi-Singer boundary conditions on the noncommutative unit disk.

Original language	English
Pages (from-to)	107-125
Number of pages	19
Journal	Letters in Mathematical Physics
Volume	93
Issue number	2
DOIs	https://doi.org/10.1007/s11005-010-0391-7
Publication status	Published - 2010

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title = "A dirac type operator on the non-commutative disk",

abstract = "We study an example of the index problem for a Dirac-like operator subject to Atiyah-Patodi-Singer boundary conditions on the noncommutative unit disk.",

keywords = "APS boundary conditions, Dirac operators, Oncommutative geometry, Quantum spaces",

author = "Carey, {Alan L.} and Slawomir Klimek and Wojciechowski, {Krzysztof P.}",

year = "2010",

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language = "English",

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AU - Klimek, Slawomir

AU - Wojciechowski, Krzysztof P.

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Y1 - 2010

N2 - We study an example of the index problem for a Dirac-like operator subject to Atiyah-Patodi-Singer boundary conditions on the noncommutative unit disk.

AB - We study an example of the index problem for a Dirac-like operator subject to Atiyah-Patodi-Singer boundary conditions on the noncommutative unit disk.

KW - APS boundary conditions

KW - Dirac operators

KW - Oncommutative geometry

KW - Quantum spaces

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U2 - 10.1007/s11005-010-0391-7

DO - 10.1007/s11005-010-0391-7

M3 - Article

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VL - 93

SP - 107

EP - 125

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 2

ER -

A dirac type operator on the non-commutative disk

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