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A Dirac type operator on the non-commutative disk

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Publication:993437
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DOI10.1007/s11005-010-0391-7zbMath1206.46058OpenAlexW2092106769MaRDI QIDQ993437

Alan L. Carey, Krzysztof P. Wojciechowski, Sławomir Klimek-Chudy

Publication date: 20 September 2010

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-010-0391-7


zbMATH Keywords

noncommutative geometryDirac operatorsAPS boundary conditionsquantum spaces


Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Exotic index theories on manifolds (58J22) Noncommutative geometry (à la Connes) (58B34)


Related Items

Spectral triples and manifolds with boundary ⋮ Derivations and spectral triples on quantum domains. I: Quantum disk ⋮ A note on spectral triples on the quantum disk ⋮ Global boundary conditions for a Dirac operator on the solid torus



Cites Work

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  • D-bar operators on quantum domains
  • A note on Dirac operators on the quantum punctured disk
  • Quantum Riemann surfaces. I: The unit disc
  • Supersymmetry and Fredholm modules over quantized spaces
  • Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in KK-theory
  • Spectral asymmetry and Riemannian Geometry. I
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