Quantum classifying spaces and universal quantum characteristic classes

• Autorzy: Mićo Đurđević
• Języki publikacji: EN

Abstrakty

EN

A construction of the noncommutative-geometric counterparts of classical classifying spaces is presented, for general compact matrix quantum structure groups. A quantum analogue of the classical concept of the classifying map is introduced and analyzed. Interrelations with the abstract algebraic theory of quantum characteristic classes are discussed. Various non-equivalent approaches to defining universal characteristic classes are outlined.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1997
• Tom: 40
• Numer: 1
• Strony: 315-327

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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• [4] M. Đurđević, Geometry of Quantum Principal Bundles II-Extended Version, Preprint, Instituto de Matematicas, UNAM, México (1994).
• [5] M. Đurđević, Characteristic Classes of Quantum Principal Bundles, Preprint, Instituto de Matematicas, UNAM, México (1995).
• [6] M. Đurđević, Quantum Principal Bundles and Their Characteristic Classes, this volume, 303-313.
• [7] M. Đurđević, Geometry of Quantum Classifying Spaces, in preparation (1997).
• [8] M. Đurđević, Cyclic Homology for Quantum Classifying Spaces, in preparation (1997).
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