01053nas a2200145   4500008004100000245004700041210004300088300001600131490000600147520062100153100002100774700001700795700002000812856007500832       2016                        eng d00aThe Gysin sequence for quantum lens spaces0 aGysin sequence for quantum lens spaces  a1077–11110 v93 a<p>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.</p>1 aArici, Francesca1 aBrain, Simon1 aLandi, Giovanni  uhttps://math.sissa.it/publication/gysin-sequence-quantum-lens-spaces-0