Speaker
Giovanni Landi
(Università degli Studi di Trieste, Italy)
Description
We study the quantization of spaces whose K-theory in the classical limit is the ring of dual numbers $\mathbb{Z}[t]/(t^2)$. For a compact quantum space, we give sufficient conditions that guarantee there is a morphism of abelian groups from $K_0 \to \mathbb{Z}[t]/(t^2)$, compatible with the tensor product of bimodules.
Applications include the standard quantum sphere $S^2_q$ and a quantum 4-sphere $S^4_q$ coming from quantum symplectic groups. For the former the K-theory is generated by the Euler class of a monopole bundle while for the latter, the K-theory is generated by the Euler class of the instanton bundle.
