Gysin exact sequences for quantum weighted lens spaces

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.

8 pages

References in corpus (6)

• Pimsner algebras and Gysin sequences from principal circle actions
• Shift tail equivalence and an unbounded representative of the Cuntz-Pimsner extension
• Quantum weighted projective and lens spaces
• The Gysin Sequence for Quantum Lens Spaces
• The geometry of quantum lens spaces: real spectral triples and bundle structure
• Notes on quantum weighted projective spaces and multidimensional teardrops