量子射影平面上的反自对偶联络：磁单极子
量子代数
2012-02-21 v2 高能物理 - 理论
数学物理
math.MP
摘要
我们给出了关于量子射影平面 CP2_q 几何的若干结果。这些结果包括：K-理论和K-同调群的显式生成元；带有霍奇星算子的实演算；线丛上的反自对偶联络，并显式计算了相应的“磁单极子”和“瞬子”荷；这些线丛上规范拉普拉斯算子的完全对角化；通过等变K-理论和q-指标的量子不变量。
引用
@article{arxiv.0903.3551,
title = {Anti-selfdual Connections on the Quantum Projective Plane: Monopoles},
author = {Francesco D'Andrea and Giovanni Landi},
journal= {arXiv preprint arXiv:0903.3551},
year = {2012}
}
备注
dcpic, pdflatex. v2: 51 pages. Added a Section of Concluding remarks, an Appendix on representations of the coordinate algebra of the quantum projective plane and three additional references. Several minor changes throughout the paper including changes in terminology. To appear in CMP.