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arXiv · 1912.08155

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

Ulrich Kraehmer·Elmar Wagner
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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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Ulrich Kraehmer, Elmar Wagner. 2019-12-17. Twisted Dirac operator on quantum SU(2) in disc coordinates. https://arxiv.org/abs/1912.08155

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