dorsal/arxiv
View SchemaCharacteristic Classes of Quantum Principal Bundles
| Authors | Mico Durdevic |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9507017 |
| URL | https://arxiv.org/abs/q-alg/9507017 |
Abstract
A noncommutative-geometric generalization of classical Weil theory of characteristic classes is presented, in the conceptual framework of quantum principal bundles. A particular care is given to the case when the bundle does not admit regular connections. A cohomological description of the domain of the Weil homomorphism is given. Relations between universal characteristic classes for the regular and the general case are analyzed. In analogy with classical geometry, a natural spectral sequence is introduced and investigated. The appropriate counterpart of the Chern character is constructed, for structures admitting regular connections. Illustrative examples and constructions are presented.
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"date_created": "2026-03-02T18:01:25.314000Z",
"date_modified": "2026-03-02T18:01:25.314000Z",
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"abstract": "A noncommutative-geometric generalization of classical Weil theory of\ncharacteristic classes is presented, in the conceptual framework of quantum\nprincipal bundles. A particular care is given to the case when the bundle does\nnot admit regular connections. A cohomological description of the domain of the\nWeil homomorphism is given. Relations between universal characteristic classes\nfor the regular and the general case are analyzed. In analogy with classical\ngeometry, a natural spectral sequence is introduced and investigated. The\nappropriate counterpart of the Chern character is constructed, for structures\nadmitting regular connections. Illustrative examples and constructions are\npresented.",
"arxiv_id": "q-alg/9507017",
"authors": [
"Mico Durdevic"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Characteristic Classes of Quantum Principal Bundles",
"url": "https://arxiv.org/abs/q-alg/9507017"
},
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"variant": "snapshot-2026-03-01",
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