Some aspects of braided geometry : differential calculus , tangent space , gauge theory

Abstract

A new approach is suggested to quantum differential calculus on certain quantum varieties. It consists in replacing quantum de Rham complexes with differentials satisfying Leibniz rule by those which are in a sense close to Koszul complexes from [G1]. We also introduce the tangent space on a quantum hyperboloid equipped with an action on the quantum… (More)

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