Twisted Dirac operator on quantum SU(2) in disc coordinates

Published 17 Dec 2019 in math.QA | (1912.08155v1)

Abstract: The quantum disc is used to define a noncommutative analogue of a dense coordinate chart and of left-invariant vector fields on quantum SU(2). This yields two twisted Dirac operators for different twists that are related by a gauge transformation and have bounded twisted commutators with a suitable algebra of differentiable functions on quantum SU(2).

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