The local index formula for quantum SU(2)
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
The local index formula of Connes--Moscovici for the isospectral noncommutative geometry recently constructed on quantum SU(2) is discussed. The cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula, are presented.
Cite
@article{arxiv.math/0612641,
title = {The local index formula for quantum SU(2)},
author = {Ludwik Dabrowski},
journal= {arXiv preprint arXiv:math/0612641},
year = {2007}
}
Comments
Talk at the Workshop "Traces in Geometry, Number Theory and Quantum Fields", MPIM Bonn, October 24-28, 2005, based on [L. Dabrowski, G. Landi, A. Sitarz, W. van Suijlekom, J. C. Varilly, Commun. Math. Phys. 259, 29-759, 2005] and [W. van Suijlekom, L. Dabrowski, G. Landi, A. Sitarz, J.C. Varilly, K-Theory 35, 375-394, 2005]