| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660514 | Topology and its Applications | 2010 | 8 Pages |
Abstract
We show that the bar complex of the configuration space of ordered distinct points in the complex plane is acyclic. The 0-dimensional cohomology of this bar complex is identified with the space of finite type invariants for braids. We construct a universal holonomy homomorphism from the braid group to the space of horizontal chord diagrams over Q, which provides finite type invariants for braids with values in Q.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
