arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0912.0106math.QAmath-phmath.MP
收藏

量子射影平面的几何

Geometry of the quantum projective plane

Francesco D'Andrea, Giovanni Landi

摘要:

我们回顾了量子射影平面的一些几何学,重点是微分学和狄拉克算子(自旋^c-结构)的构造。我们还报告反自对偶联络的线丛,频谱相关(规范)拉普拉斯算子,并在经典和量子特征类。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑