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Quantum Classifying Spaces and Universal Quantum Characteristic Classes

q-alg 2008-02-03 v1 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.q-alg/9605009,
  title  = {Quantum Classifying Spaces and Universal Quantum Characteristic Classes},
  author = {Mico Durdevic},
  journal= {arXiv preprint arXiv:q-alg/9605009},
  year   = {2008}
}

Comments

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