Dirac type operators on the quantum solid torus with global boundary conditions

DOI10.1016/j.jmaa.2019.123690zbMath1430.81043arXiv1611.01556OpenAlexW2990097705WikidataQ126804263 ScholiaQ126804263MaRDI QIDQ2287285

Matt McBride, Sławomir Klimek-Chudy

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01556

zbMATH Keywords

noncommutative geometryDirac operatorsnoncommutative toriAPS boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Index theory and related fixed-point theorems on manifolds (58J20) Noncommutative geometry in quantum theory (81R60)

Cites Work

• D-bar operators on quantum domains
• A note on Dirac operators on the quantum punctured disk
• Quantum Riemann surfaces. I: The unit disc
• Spectral boundary conditions and index theorem for two-dimensional compact manifold with boundary
• Monodromy matrix for linear difference operators with almost constant coefficients
• A note on gluing Dirac type operators on a mirror quantum two-sphere
• Global boundary conditions for a Dirac operator on the solid torus
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