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Quantum classifying spaces and universal quantum characteristic classes

Volume 40 / 1997

Banach Center Publications 40 (1997), 315-327 DOI: 10.4064/-40-1-315-327

Abstract

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.

Authors

• Mićo Đurđević

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