{"authors":[{"id":null,"fullName":"Del Donno A.","name":null,"surname":null,"rank":1,"pid":null},{"id":null,"fullName":"Latini E.","name":null,"surname":null,"rank":2,"pid":{"id":{"scheme":"orcid_pending","value":"0000-0002-1579-8970"},"provenance":null}},{"id":"orcid_______::8b692c8eae2f6dfe48db3b624a36ce10","fullName":"Weber T.","name":null,"surname":null,"rank":3,"pid":{"id":{"scheme":"orcid","value":"0000-0001-5800-9524"},"provenance":null}}],"openAccessColor":null,"publiclyFunded":false,"eoscIfGuidelines":null,"type":"publication","language":{"code":"eng","label":"English"},"countries":[{"code":"IT","label":"Italy","provenance":null}],"subjects":[{"subject":{"scheme":"keyword","value":"Rings and Algebras"},"provenance":null},{"subject":{"scheme":"keyword","value":"Noncommutative geometry (à la Connes)"},"provenance":null},{"subject":{"scheme":"keyword","value":"Quantum principal bundle; Hopf-Galois extension; Noncommutative differential calculus; Strong connection; Braided-commutative algebra"},"provenance":null},{"subject":{"scheme":"keyword","value":"Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)"},"provenance":null},{"subject":{"scheme":"keyword","value":"FOS: Physical sciences"},"provenance":null},{"subject":{"scheme":"keyword","value":"Mathematical Physics (math-ph)"},"provenance":null},{"subject":{"scheme":"FOS","value":"01 natural sciences"},"provenance":null},{"subject":{"scheme":"keyword","value":"strong connections"},"provenance":null},{"subject":{"scheme":"keyword","value":"Quantum Algebra"},"provenance":null},{"subject":{"scheme":"keyword","value":"quantum principal bundles"},"provenance":null},{"subject":{"scheme":"keyword","value":"Hopf algebras, quantum groups and related topics"},"provenance":null},{"subject":{"scheme":"keyword","value":"Rings and Algebras (math.RA)"},"provenance":null},{"subject":{"scheme":"keyword","value":"braided-commutative algebras"},"provenance":null},{"subject":{"scheme":"keyword","value":"FOS: Mathematics"},"provenance":null},{"subject":{"scheme":"keyword","value":"Hopf-Galois extensions"},"provenance":null},{"subject":{"scheme":"keyword","value":"Quantum Algebra (math.QA)"},"provenance":null},{"subject":{"scheme":"keyword","value":"Primary 16S40, Secondary 16T05, 81R60"},"provenance":null},{"subject":{"scheme":"FOS","value":"0101 mathematics"},"provenance":null},{"subject":{"scheme":"keyword","value":"noncommutative differential calculus"},"provenance":null},{"subject":{"scheme":"keyword","value":"Mathematical Physics"},"provenance":null}],"mainTitle":"On the Đurđević approach to quantum principal bundles","subTitle":null,"descriptions":["We revisit and extend the Durdevic theory of complete calculi on quantum principal bundles. In this setting one naturally obtains a graded Hopf-Galois extension of the higher order calculus and an intrinsic decomposition of degree 1-forms into horizontal and vertical forms. This proposal is appealing, since it is consistently equipped with a canonical braiding and exactness of the Atiyah sequence is guaranteed. 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