*The primary source is the seminal 1963 differential-topology article, "Groups of homotopy spheres," by Michel Kervaire and John Milnor.*

Gerrit Smith will finish Section 5 & 6. Given a highly connected odd-dimensional parallelizable manifold whose middle homology is all torsion, he will show how to do parallelizable surgery to produce a contractible manifold. In the case the dimension is congruent to 3 modulo 4, the analysis of the effect of surgery involves the Q/Z-valued torsion linking form.

(For continuity, here's a link to the previous talk.)