A residue formula for the fundamental Hochschild class of the Podles sphere

Abstract

The fundamental Hochschild cohomology class of the standard Podles quantum sphere is expressed in terms of the spectral triple of Dabrowski and Sitarz by means of a residue formula.

arXiv comment13 pages

References in corpus (5)

• A Local Index Formula for the Quantum Sphere
• Twisted cyclic homology of all Podles quantum spheres
• The Hochschild cohomology ring of the standard Podles quantum sphere
• On the Hochschild (co)homology of Quantum Homogeneous Spaces
• On braided zeta functions

Cited by in corpus (4)

• A twisted spectral triple for quantum SU(2)
• On modular semifinite index theory
• The resolvent cocycle in twisted cyclic cohomology and a local index formula for the Podles sphere
• Quantum Dimension and Quantum Projective Spaces