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

2010/08/11 by Ulrich Kraehmer, Kraehmer, Ulrich, Elmar Wagner +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.KT #math.QA

paper · pdf · doi:10.48550/arxiv.1008.1830

13 pages

arxiv created 2010/08/11 · openalex publication_date 2010/08/11 · arxiv updated 2010/08/12 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

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.

Citations

• The Hochschild cohomology ring of the standard Podles quantum sphere
• On braided zeta functions

Cited by

• On modular semifinite index theory

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