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

Author:

Krähmer Ulrich,Wagner Elmar

Abstract

AbstractThe fundamental Hochschild cohomology class of the standard Podleś quantum sphere is expressed in terms of the spectral triple of Dąabrowski and Sitarz by means of a residue formula.

Publisher

Cambridge University Press (CUP)

Subject

Geometry and Topology,Algebra and Number Theory

Reference29 articles.

1. Dirac operators on all Podleś quantum spheres;Dąbrowski;J. Noncommut. Geom.,2007

2. Dirac operator and a twisted cyclic cocycle on the standard Podleś quantum sphere;Schmüdgen;J. Reine Angew. Math.,2004

3. The local index formula in noncommutative geometry

4. On equivariant Dirac operators forSU q (2)

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1. Regularity of twisted spectral triples and pseudodifferential calculi;Journal of Noncommutative Geometry;2019-10-21

2. The Podleś sphere as a spectral metric space;Journal of Geometry and Physics;2018-11

3. Non-Commutative Integration, Zeta Functions and the Haar State for SU q (2);Mathematical Physics, Analysis and Geometry;2015-02-27

4. Quantum Dimension and Quantum Projective Spaces;Symmetry, Integrability and Geometry: Methods and Applications;2014-09-25

5. Heat Trace and Spectral Action on the Standard Podleś Sphere;Communications in Mathematical Physics;2014-05-06

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