Higher Structures in Functorial Field Theory (B08*)

泛函场论中的高级结构 (B08*)

• 批准号: 471007005
• 金额: --
• 依托单位: Lehrstuhl für Mathematik
• 依托单位国家: 德国
• 项目类别: Collaborative Research Centres
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/471007005?language=en
• 关键词: Higher; Structures; Functorial; Field; Theory

In this project, we study field-theoretic structures underlying higher invariants. On the one hand, we consider specific invariants from global analysis, with the goal to construct free fermion theories as a twisted functorial field theory. On the other hand, we study higher categories which serve as targets for extended field theories, as the natural home for higher invariants which such a field theory assigns.

在这个项目中，我们研究更高不变量的场论结构。一方面，我们考虑特定的不变量，从整体分析，与目标构建自由费米子理论作为一个扭曲的函子场论。另一方面，我们研究更高的类别作为目标的扩展领域理论，作为自然的家园，更高的不变量，这样的领域理论分配。