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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 T-duality 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 K-theory is constructed and used to compute the K-theory of these spaces. In particular, we show explicit geometric representatives of the K-theory classe, especially the torsion ones. I will also comment on the relations of our construction with Pimsner algebras.
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