A residue formula for the fundamental Hochschild class on the Podleś sphere

DOI10.1017/is013001019jkt199zbMath1293.58009arXiv1008.1830OpenAlexW2963335483MaRDI QIDQ2874239

Ulrich Krähmer, Elmar Wagner

Publication date: 29 January 2014

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1830

zbMATH Keywords

Hochschild cohomologynoncommutative geometryPodleś spherequantum spherespectral triplefundamental classresidue formulas

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Geometry of quantum groups (58B32) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (4)

Heat trace and spectral action on the standard Podleś sphere ⋮ The Podleś sphere as a spectral metric space ⋮ Regularity of twisted spectral triples and pseudodifferential calculi ⋮ Non-commutative integration, zeta functions and the Haar state for \(\mathrm{SU}_q(2)\)

Cites Work

• Equivariant Poincaré duality for quantum group actions
• On equivariant Dirac operators for \(\mathrm{SU}_q(2)\)
• Twisted cyclic homology of all Podleś quantum spheres
• On the noncommutative spin geometry of the standard Podleś sphere and index computations
• Quantum spheres
• Noncommutative differential geometry on the quantum two sphere of Podlès. I: An algebraic viewpoint
• On the Hochschild (co)homology of quantum homogeneous spaces.
• Dirac operators on quantum flag manifolds
• The local index formula in noncommutative geometry
• A local index formula for the quantum sphere
• THE NONCOMMUTATIVE GEOMETRY OF THE QUANTUM PROJECTIVE PLANE
• A relation between Hochschild homology and cohomology for Gorenstein rings
• On \(q\)-analogues of Riemann's zeta function

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