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arXiv · 1307.4188

Heat trace and spectral action on the standard Podles sphere

Michal Eckstein·Bruno Iochum·Andrzej Sitarz
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Abstract

We give a new definition of dimension spectrum for non-regular spectral triples and compute the exact (i.e. non only the asymptotics) heat-trace of standard Podles spheres $S^2_q$ for $0<q<1$, study its behavior when $q\to 1$ and fully compute its exact spectral action for an explicit class of cut-off functions.

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Michal Eckstein, Bruno Iochum, Andrzej Sitarz. 2013-07-16. Heat trace and spectral action on the standard Podles sphere. https://doi.org/10.1007/s00220-014-2054-5

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