Monopoles, instantons and metrics

单极子、瞬子和度量

• 批准号: DP0344452
• 负责人: Prof Michael Murray
• 金额: $ 13.58万
• 依托单位: The University of Adelaide
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2003
• 资助国家: 澳大利亚
• 起止时间: 2003-01-01 至 2007-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0344452
• 关键词: Monopoles; instantons; metrics

This Project is pure basic research in the general area of differential geometry or the study of manifolds. Manifolds are higher dimensional analogues of surfaces such as the surface of the sphere or the surface of a doughnut. This Project studies monopoles and instantons which are solutions of partial differential equations arising in physics. These solutions and the so-called moduli spaces of all solutions have been used in the last two decades by the worlds leading mathematicians to revolutionize the study of three and four dimensional manifolds.

这个项目是微分几何或流形研究的一般领域的纯基础研究。流形是表面的高维类似物，例如球体表面或甜甜圈表面。本计画研究物理学中偏微分方程式的解-磁单极子与瞬子。这些解决方案和所谓的模空间的所有解决方案已被用于在过去的二十年里由世界领先的数学家革命性的研究三维和四维流形。