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A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere

Published 27 Sep 2013 in math.OA, math-ph, and math.MP | (1309.7096v3)

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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