Mathematics – Algebraic Topology
Scientific paper
2002-11-04
Geom. Topol. Monogr. 4 (2002) 143-160
Mathematics
Algebraic Topology
Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper10.abs.html Version 2: correc
Scientific paper
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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