Modified surgery and $(3/4)$-dimensional embeddings in $(6/7)$ space.
D. Crowley

We discuss the role of the little-$l$ monoids of modified surgery as
they appear in recent work of Kreck and Skopenkov concerning the
classification of codimension $3$ embeddings of $3$ and $4$-manifolds
in $6$ and $7$-space: $M^3 \hra R^6$ and $N^4 \hra \R^7$.
Specifically we consider how to calculate the surgery obstructions in
the "Reduction Lemma".  As time permits we shall also consider
relations with the isotopy theory of $5$ and $6$-manifolds.

References:

"On the classification of smooth $3$-manifolds in $6$-space"
http://de.arxiv.org/abs/math/0603429

"On the classification of smooth embeddings of $4$-manifolds in $7$-
space" http://de.arxiv.org/abs/math/0512594