Robin Koytcheff

CONFIGURATION SPACE INTEGRALS AND THE COHOMOLOGY OF THE SPACE OF HOMOTOPY STRING LINKS

Configuration space integrals have in recent years been used for studying the cohomology of spaces of (string) knots and links in

Embedding calculus knot invariants are of finite type

\mathbb{R}^n

A colored operad for string link infection

for

A prime decomposition theorem for the 2-string link monoid

n>3

The Milnor triple linking number of string links by cut-and-paste topology

since they provide a map from a certain differential algebra of diagrams to the deRham complex of differential forms on the spaces of knots and links. We refine this construction so that it now applies to the space of homotopy string links -- the space of smooth maps of some number of copies of

Homotopy string links and the κ-invariant

\mathbb{R}

Homotopy string links and the

in

\kappa

\mathbb{R}^n

-invariant

with fixed behavior outside a compact set and such that the images of the copies of

Homotopy string links and the κ-invariant: HOMOTOPY STRING LINKS AND THE κ-INVARIANT

\R