Quantum Classifying Spaces and Universal Quantum Characteristic Classes

Details Quantum Classifying Spaces and Universal Quantum Characteristic Classes Quantum Classifying Spaces and Universal Quantum Characteristic Classes

1996-05-05

arxiv.org/abs/q-alg/9605009v1

Mathematics

Quantum Algebra

12 pages, AMS-LaTeX, Lectures, Quantum Groups and Quantum Spaces Minisemester, Banach Center, Warsaw, Poland, November 1995

Scientific paper

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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