We study the space of link maps: maps from to such that the images of and are disjoint. We identify the homotopy fiber of the inclusion in a stable range, showing that it has a –connected map to the infinite loopspace of a certain Thom spectrum.
"A stable range description of the space of link maps." Algebr. Geom. Topol. 10 (3) 1305 - 1315, 2010. https://doi.org/10.2140/agt.2010.10.1305