Quantum principal bundles and their characteristic classes
Tom 40 / 1997
Banach Center Publications 40 (1997), 303-313
DOI: 10.4064/-40-1-303-313
Streszczenie
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.
