Dirac operators on all Podles quantum spheres
量子代数
2007-05-23 v2 高能物理 - 理论
摘要
We construct spectral triples on all Podles quantum spheres. These noncommutative geometries are equivariant for a left action of and are regular, even and of metric dimension 2. They are all isospectral to the undeformed round geometry of the 2-sphere. There is also an equivariant real structure for which both the commutant property and the first order condition for the Dirac operators are valid up to infinitesimals of arbitrary order.
引用
@article{arxiv.math/0606480,
title = {Dirac operators on all Podles quantum spheres},
author = {Ludwik Dabrowski and Francesco D'Andrea and Giovanni Landi and Elmar Wagner},
journal= {arXiv preprint arXiv:math/0606480},
year = {2007}
}
备注
24 pages, no figures; v2: minor corrections