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1997 | 40 | 1 | 303-313

Tytuł artykułu

Quantum principal bundles and their characteristic classes

Treść / Zawartość

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.

Rocznik

Tom

40

Numer

1

Strony

303-313

Daty

wydano
1997

Twórcy

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

Bibliografia

  • [1] R. Bott & W. Tu, Differential Forms in Algebraic Topology, Springer-Verlag New-York (1982).
  • [2] A. Connes, Non-commutative differential geometry, Extrait des Publications Mathématiques, IHES 62 (1986).
  • [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).
  • [9] S. L. Woronowicz, Compact Matrix Pseudogroups, Commun Math Phys 111 613-665 (1987).
  • [10] S. L. Woronowicz, Differential Calculus on Compact Matrix Pseudogroups/ Quantum Groups, Commun Math Phys 122 125-170 (1989).

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