Gysin exact sequences for quantum weighted lens spaces
K-Theory and Homology
2018-05-01 v1 Operator Algebras
Quantum Algebra
Abstract
We describe quantum weighted lens spaces as total spaces of quantum principal circle bundles, using a Cuntz-Pimsner model. The corresponding Pimsner exact sequence is interpreted as a noncommutative analogue of the Gysin exact sequence. We use the sequence to compute the K-theory and K-homology groups of quantum weighted lens spaces, extending previous results and computations due to the author and collaborators.
Keywords
Cite
@article{arxiv.1610.00947,
title = {Gysin exact sequences for quantum weighted lens spaces},
author = {Francesca Arici},
journal= {arXiv preprint arXiv:1610.00947},
year = {2018}
}
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8 pages