Quantum principal bundles and their characteristic classes

• Autorzy: Mićo Đurđević
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1997
• Tom: 40
• Numer: 1
• Strony: 303-313

Daty

wydano

1997

Twórcy

autor

Mićo Đurđević

• Instituto de Matematicas, UNAM, Area de la Investigacion Cientifica, Circuito Exterior, Ciudad Universitaria, México DF, CP 04510, Mexico

Bibliografia

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• [3] A. Connes, Noncommutative Geometry, Academic Press (1994).
• [4] M. Đurđević, Geometry of Quantum Principal Bundles I, Commun Math Phys 175 (3) 457-521 (1996).
• [5] M. Đurđević, Geometry of Quantum Principal Bundles II-Extended Version, Preprint, Instituto de Matematicas, UNAM, México (1994).
• [6] M. Đurđević, Characteristic Classes of Quantum Principal Bundles, Preprint, Instituto de Matematicas, UNAM, México (1995).
• [7] M. Đurđević, General Frame Structures on Quantum Principal Bundles, Preprint, Instituto de Matematicas, UNAM, México (1995).
• [8] S. Kobayashi & K. Nomizu, Foundations of Differential Geometry, Interscience Publishers New York, London (1963).
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