
Speaker: 
Francesca Arici, SISSA Trieste

Title: 
The Gysin Sequence for quantum lens spaces

Abstract: 
The Gysin exact sequence plays a crucial role not only in mathematics but also in physics, with its use in the framework of Tduality
and Chern Simons Theories. In our work is we construct a noncommutative analogue of this sequence for a class of quantum spaces which
includes quantum lens spaces. These spaces are defined as direct sum of line bundles. An analogue of the Gysin sequence in Ktheory
is constructed and used to compute the Ktheory of these spaces. In particular, we show explicit geometric representatives of the
Ktheory classe, especially the torsion ones. I will also comment on the relations of our construction with Pimsner algebras.

