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arXiv · 1610.00947

Gysin exact sequences for quantum weighted lens spaces

Francesca Arici
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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.

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Francesca Arici. 2016-10-04. Gysin exact sequences for quantum weighted lens spaces. https://doi.org/10.1007/978-3-319-72299-3_12

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