%0 Report
%D 2014
%T The Gysin Sequence for Quantum Lens Spaces
%A Francesca Arici
%A Simon Brain
%A Giovanni Landi
%X 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.
%G en
%U http://hdl.handle.net/1963/7246
%1 7288
%2 Mathematics
%4 1
%$ Submitted by Francesca Arici (farici@sissa.it) on 2014-01-30T18:32:27Z
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