On the moduli space of a quantum Heisenberg manifold

详细信息	查看全文 | 推荐本文 |

• 作者：Hyun Ho Lee ^{hadamard@ulsan.ac.kr}
• 关键词：The Yang&ndash ; Mills functional ; Moduli space ; Quantum Heisenberg manifold ; Strong Morita equivalence
• 刊名：Journal of Functional Analysis
• 出版年：2012
• 期刊代码：75_00221236
• 类别：mt
• 出版时间：15 August, 2012
• 卷：263
• 期：4
• 页码：941-959
• 文件大小：177 K

摘要

We investigate the Yang-Mills problem on a quantum Heisenberg manifold in the setting of the non-commutative differential geometry. This problem was already studied by Kang (2010) in for a specific module 螢 over , and Kang obtained a family of connections which are critical points of the Yang-Mills functional on 螢. But it turned out that they are neither minima nor maxima. In this article we construct a connection on 螢, and show that it is a minimum of the Yang-Mills functional on the module. Moreover we give a certain family of minima including , and show that the moduli space for 螢 is non-trivial.