Constructs σ-generated differential calculi on principal comodule algebras via Durdević braiding, proves existence for arbitrary cases, shows natural descent of connections under compatibility conditions, and develops functorial properties with examples from quantum projective and lens spaces.
Braided hopf algebras and gauge transformations.Mathematical Physics, Analysis and Geometry, 27(4):23
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Differential calculus on Hopf--Galois extension via the Durdevi\'c braiding
Constructs σ-generated differential calculi on principal comodule algebras via Durdević braiding, proves existence for arbitrary cases, shows natural descent of connections under compatibility conditions, and develops functorial properties with examples from quantum projective and lens spaces.