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Weighted Circle Actions on the Heegaard Quantum Sphere / Tomasz Brzeziński; Simon A. Fairfax; Tomasz Brzezinski

Letters in Mathematical Physics, Volume: 104, Issue: 2, Pages: 195 - 215

Swansea University Author: Tomasz, Brzezinski

DOI (Published version): 10.1007/s11005-013-0664-z

Abstract

Weighted circle actions on the quantum Heeqaard 3-sphere are considered. The fixed point algebras, termed quantum weighted Heegaard spheres, and their repre- sentations are classified and described on algebraic and topological levels. On the alge- braic side, coordinate algebras of quantum weighted...

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Published in: Letters in Mathematical Physics
Published: 2014
Online Access: http://arxiv.org/abs/1305.5942
URI: https://cronfa.swan.ac.uk/Record/cronfa20518
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Abstract: Weighted circle actions on the quantum Heeqaard 3-sphere are considered. The fixed point algebras, termed quantum weighted Heegaard spheres, and their repre- sentations are classified and described on algebraic and topological levels. On the alge- braic side, coordinate algebras of quantum weighted Heegaard spheres are interpreted as generalised Weyl algebras, quantum principal circle bundles and Fredholm modules over them are constructed, and the associated line bundles are shown to be non-trivial by an explicit calculation of their Chern numbers. On the topological side, the C∗-algebras of continuous functions on quantum weighted Heegaard spheres are described and their K-groups are calculated. Note: The final publication is available at link.springer.com.
College: College of Science
Issue: 2
Start Page: 195
End Page: 215