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Quantum Classifying Spaces and Universal Quantum Characteristic Classes

Mico Durdevic
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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.

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Mico Durdevic. 1996-05-05. Quantum Classifying Spaces and Universal Quantum Characteristic Classes. https://arxiv.org/abs/q-alg/9605009

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