On some Gromoll filtration groups and fundamental groups of ${\mathrm{Diff}}_{\partial }(D^n)$

Wei Wang

In this paper, we compute some Gromoll filtration groups ${\Gamma }_{i+1}^{n+1}$ for certain $i$ when $8\le n\le 17$ and $n=4k+2\ge 18$. Using these results, we obtain some new informa…