Loop spaces of configuration spaces and finite type invariants

Kavli Affiliate: Toshitake Kohno

| First 5 Authors: Toshitake Kohno, , , ,

| Summary:

The total homology of the loop space of the configuration space of ordered
distinct n points in R^m has a structure of a Hopf algebra defined by the
4-term relations if m>2. We describe a relation of between the cohomology of
this loop space and the set of finite type invariants for the pure braid group
with n strands. Based on this we give expressions of certain link invariants as
integrals over cycles of the above loop space.

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