On the cohomology of spaces of links and braids via configuration space integrals

Details On the cohomology of spaces of links and braids via configuration space integrals On the cohomology of spaces of links and braids via configuration space integrals

2010-02-12

arxiv.org/abs/1002.2467v1

Mathematics

Algebraic Topology

20 pages

Scientific paper

We study the cohomology of spaces of string links and braids in
$\mathbb{R}^n$ for $n\geq 3$ using configuration space integrals. For $n>3$,
these integrals give a chain map from certain diagram complexes to the deRham
algebra of differential forms on these spaces. For $n=3$, they produce all
finite type invariants of string links and braids.

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