The local index formula for quantum SU(2)
量子代数
2007-05-23 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0612641,
title = {The local index formula for quantum SU(2)},
author = {Ludwik Dabrowski},
journal= {arXiv preprint arXiv:math/0612641},
year = {2007}
}
备注
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]