XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Tomasz Brzezinski

Noncommutative gauge theory of generalized (quantum) Weyl algebras

Generalized (quantum) Weyl algebras (over a polynomial ring in one variable) can be understood as models for non-commutative surfaces. We describe quantum principal bundles over such algebras, and demonstrate how this algebraic approach to non-commutative gauge theory leads to introduction of differential and spin geometry (Dirac operators) of these algebras.

Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok

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