A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
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2014-03
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American English
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Abstract
The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate local boundary condition. We show that the resulting operators have compact resolvents, and so they are elliptic operators.
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Klimek, S., & McBride, M. (2014). A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 10, 036.
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Article