Quantum principal bundles and their characteristic classes

Volume 40 / 1997

Mićo Đurđević Banach Center Publications 40 (1997), 303-313 DOI: 10.4064/-40-1-303-313


A general theory of characteristic classes of quantum principal bundles is presented, incorporating basic ideas of classical Weil theory into the conceptual framework of noncommutative differential geometry. A purely cohomological interpretation of the Weil homomorphism is given, together with a geometrical interpretation via quantum invariant polynomials. A natural spectral sequence is described. Some interesting quantum phenomena appearing in the formalism are discussed.


  • Mićo Đurđević

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