The Gysin Sequence for Quantum Lens Spaces
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Arici, Francesca | |
| dc.contributor.author | Brain, Simon | |
| dc.contributor.author | Landi, Giovanni | |
| dc.date.accessioned | 2014-01-31T06:59:33Z | |
| dc.date.available | 2014-01-31T06:59:33Z | |
| dc.date.issued | 2014-01-27 | |
| dc.description | 27 pages | en_US |
| dc.description.abstract | We define quantum lens spaces as `direct sums of line bundles' and exhibit them as `total spaces' of certain principal bundles over quantum projective spaces. For each of these quantum lens spaces we construct an analogue of the classical Gysin sequence in K-theory. We use the sequence to compute the K-theory of the quantum lens spaces, in particular to give explicit geometric representatives of their K-theory classes. These representatives are interpreted as `line bundles' over quantum lens spaces and generically define `torsion classes'. We work out explicit examples of these classes. | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/7246 | |
| dc.language.iso | en | en_US |
| dc.miur.area | 1 | en_US |
| dc.relation.ispartofseries | arXiv:1401.6788; | |
| dc.title | The Gysin Sequence for Quantum Lens Spaces | en_US |
| dc.type | Preprint | en_US |
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