Equivariant topology and symplectic geometry

等变拓扑和辛几何

• 批准号: RGPIN-2015-05382
• 负责人: Baird, Thomas
• 金额: $ 1.24万
• 依托单位: Memorial University of Newfoundland
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635360
• 关键词: Equivariant; topology; symplectic; geometry

I work in the fields of geometry and topology. The kinds of questions I am interested are loosely motivated by mathematical physics. My current program is to study the topological and geometric properties of a class of moduli spaces associated to a real algebraic curve.  These moduli spaces embed as Lagrangian submanifolds of the moduli space of stable vector bundles over a complex curve and provide a rich source of examples for Lagrangian Floer theory and are likely to have applications in three dimensional topological quantum field theory.

我研究的领域是几何和拓扑。我感兴趣的问题主要是由数学物理驱动的。我目前的计划是研究与实代数曲线相关的一类模空间的拓扑和几何性质。模空间嵌入为复杂曲线上稳定向量束模空间的拉格朗日子流形，为拉格朗日弗洛尔理论提供了丰富的示例来源，并且可能在三维拓扑量子中得到应用场论。