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Item A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere(2014-03) Klimek, Slawomir; McBride, MattThe 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.