TY - RPRT
T1 - The Gysin Sequence for Quantum Lens Spaces
Y1 - 2014
A1 - Francesca Arici
A1 - Simon Brain
A1 - Giovanni Landi
AB - 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.
UR - http://hdl.handle.net/1963/7246
N1 - 27 pages
U1 - 7288
U2 - Mathematics
U4 - 1
ER -