Topology of toric spaces

复曲面空间的拓扑

• 批准号: 371624-2009
• 负责人: Franz, Matthias
• 金额: $ 1.68万
• 依托单位: University of Western Ontario
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=528300
• 关键词: Topology; toric; spaces

The aim of this project is to investigate the topology of spaces with an action of a torus T=(S^1)^n, the n-fold Cartesian product of a circle. The focus will be on spaces with rich additional structure arising in various fields, e.g., Hamiltonian T-manifolds (symplectic geometry) or toric varieties (algebraic geometry). This is motivated by the fact that algebraic topology, in particular equivariant cohomology, often plays a crucial role in applications of these spaces, for instance to representation theory and combinatorics.

该项目的目的是通过圆圈的n倍笛卡尔产物进行圆环t =（s^1）^n的作用研究空间的拓扑。焦点将放在各个领域中产生丰富结构的空间上，例如，哈密顿T型（symbletic几何形状）或曲折品种（代数几何形状）。这是由于代数拓扑（特别是均等的共同学）通常在这些空间的应用中（例如代表理论和组合学）中起着至关重要的作用。