String Topology 论文
1999arXiv (Cornell University)引用 284
Homotopy and Cohomology in Algebraic TopologyGeometric and Algebraic TopologyTopological and Geometric Data Analysis
详细信息
- 发表期刊/会议
- arXiv (Cornell University)
- 发表日期
- 1999-11-21
- 发表年份
- 1999
关键词
Homotopy and Cohomology in Algebraic TopologyGeometric and Algebraic TopologyTopological and Geometric Data Analysis
摘要
Consider two families of closed oriented curves in a d-manifold. At each point of intersecction of a curve of one family with a curve of the other family, form a new closed curve by going around the first curve and then going around the second. Typically, an i-dimensional family and a j-dimensional family will produce an (i+j-d+2)-dimensional family. Our purpose is to describe mathematical structure behind such interactions.