Circle actions on a quantum Seifert manifold

2012/03/30 by Tomasz Brzeziński, Brzeziński, Tomasz · 3 citations
Mathematics · #58B32 #58B34 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.KT #math.QA #msc:58B32 #msc:58B34

paper · pdf · doi:10.48550/arxiv.1203.6801

9 pages

arxiv created 2012/03/30 · openalex publication_date 2012/03/30 · arxiv updated 2012/04/02 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

Abstract

The quotients of a (non-orientable) quantum Seifert manifold by circle actions are described. In this way quantum weighted real projective spaces that include the quantum disc and the quantum real projective space as special cases are obtained. Bounded irreducible representations of the coordinate algebras and the K-groups of the algebras of continuous functions on quantum weighted real projective spaces are presented.

Citations

• The Geometries of 3-Manifolds

Cited by

• Bundles over Quantum Real Weighted Projective Spaces
• Circle and line bundles over generalized Weyl algebras
• On the Smoothness of the Noncommutative Pillow and Quantum Teardrops

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• Quantum Real Projective Space, Disc and Sphere
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