%0 Journal Article
%T Loop spaces of configuration spaces and finite type invariants
%A Toshitake Kohno
%J Mathematics
%D 2002
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0211056v2