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math.KT2005
Noncommutative index theory for mirror quantum spheres
Piotr M. Hajac, Rainer Matthes, Wojciech Szymanski
We introduce and analyse a new type of quantum 2-spheres. Then we apply index theory for noncommutative line bundles over these spheres to conclude that quantum lens spaces are non…
math.KT2004
The K-Theory of Heegaard-Type Quantum 3-Spheres
Paul Baum, Piotr M. Hajac, Rainer Matthes +1
We use a Heegaard splitting of the topological 3-sphere as a guiding principle to construct a family of its noncommutative deformations. The main technical point is an identificati…