00950nas a2200121 4500008004100000245004700041210004300088520060300131100002100734700001700755700002000772856003600792 2014 en d00aThe Gysin Sequence for Quantum Lens Spaces0 aGysin Sequence for Quantum Lens Spaces3 aWe 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.1 aArici, Francesca1 aBrain, Simon1 aLandi, Giovanni uhttp://hdl.handle.net/1963/7246