Geometry of vector bundles and moduli spaces of instantons

向量丛的几何和瞬子模空间

• 批准号: 402489-2011
• 负责人: Charbonneau, Benoit
• 金额: $ 1.17万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=488083
• 关键词: Geometry; vector; bundles; moduli; spaces

This research program is concerned with understanding the topology and geometry of various moduli spaces of vector bundles equipped with special structures. Such a program lies in the mathematical field of differential geometry, the study of calculus and differential equations on manifolds, and more specifically it lies in the field of gauge theory, the study of vector bundles and connections.

这项研究计划涉及了解具有特殊结构的向量丛的各种模空间的拓扑和几何。这样的程序存在于微分几何的数学领域，研究流形上的微积分和微分方程，更具体地说，它存在于规范理论领域，研究向量丛和联系。