Note on some Gromoll filtration groups and fundamental groups of $\mathrm{Diff}_{\partial}(D^n)$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908304932864000 |
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| author | Wang, Wei |
| author_facet | Wang, Wei |
| contents | In this note, we will compute some Gromoll filtration groups $Γ^{n+1}_{i+1}$ for certain $i$ when $8\leq n \leq 17$ and $n=4k+2\geq 18$. We will also use these results to obtain some information of $π_1\mathrm{Diff}_{\partial} (D^n)$ when $6\leq n \leq 15$ and $π_2 \mathrm{Diff}_{\partial} (D^{4k+3})$ when $4k+3\geq 15$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04875 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on some Gromoll filtration groups and fundamental groups of $\mathrm{Diff}_{\partial}(D^n)$ Wang, Wei Algebraic Topology Geometric Topology In this note, we will compute some Gromoll filtration groups $Γ^{n+1}_{i+1}$ for certain $i$ when $8\leq n \leq 17$ and $n=4k+2\geq 18$. We will also use these results to obtain some information of $π_1\mathrm{Diff}_{\partial} (D^n)$ when $6\leq n \leq 15$ and $π_2 \mathrm{Diff}_{\partial} (D^{4k+3})$ when $4k+3\geq 15$. |
| title | Note on some Gromoll filtration groups and fundamental groups of $\mathrm{Diff}_{\partial}(D^n)$ |
| topic | Algebraic Topology Geometric Topology |
| url | https://arxiv.org/abs/2504.04875 |