Geometry of the quantum projective plane
Quantum Algebra
2010-05-18 v2 Mathematical Physics
math.MP
Abstract
We review some of the geometry of the quantum projective plane with emphasis on the construction of a differential calculus and of the Dirac operator (of a spin^c-structure). We also report on anti-self-dual connections on line bundles, the spectrum of associated (gauged) Laplacian operators, and on classical and quantum characteristic classes.
Keywords
Cite
@article{arxiv.0912.0106,
title = {Geometry of the quantum projective plane},
author = {Francesco D'Andrea and Giovanni Landi},
journal= {arXiv preprint arXiv:0912.0106},
year = {2010}
}
Comments
v2: one very minor change. 18 pages, amsart, dcpic. Based on invited talks at the Satellite Conference to the 5th European Congress of Mathematics: "Noncommutative structures in Mathematics and Physics", Royal Flemish Academy, Brussels (Belgium), 22-26 July 2008. Published in the Proceedings