The Hochschild cohomology ring of the standard Podles quantum sphere

Abstract

The cup and cap product in twisted Hochschild (co)homology is computed for the standard quantum 2-sphere and used to construct a cyclic 2-cocycle that represents the fundamental Hochschild class.

References in corpus (1)

• On the Hochschild (co)homology of Quantum Homogeneous Spaces

Cited by in corpus (3)

• On the noncommutative spin geometry of the standard Podles sphere and index computations
• On the Hochschild (co)homology of Quantum Homogeneous Spaces
• A residue formula for the fundamental Hochschild class of the Podles sphere