Smooth free involution of $H{\Bbb C}P^3$ and Smith conjecture for imbeddings of $S^3$ in $S^6$
| dc.creator | Li, Bang-he | |
| dc.creator | Lü, Zhi | |
| dc.date | 2002-11-09 | |
| dc.date | 2007-06-26 | |
| dc.date.accessioned | 2026-07-07T08:31:35Z | |
| dc.date.available | 2026-07-07T08:31:35Z | |
| dc.description | This paper establishes an equivalence between existence of free involutions on $H{\Bbb C}P^3$ and existence of involutions on $S^6$ with fixed point set an imbedded $S^3$, then a family of counterexamples of the Smith conjecture for imbeddings of $S^3$ in $S^6$ are given by known result on $H{\Bbb C}P^3$. In addition, this paper also shows that every smooth homotopy complex projective 3-space admits no orientation preserving smooth free involution, which answers an open problem [Pe]. Moreover, the study of existence problem for smooth orientation preserving involutions on $H{\Bbb C}P^3$ is completed. | |
| dc.description | 10 pages, final version | |
| dc.identifier | https://arxiv.org/abs/math/0211153 | |
| dc.identifier | http://arxiv.org/abs/math/0211153 | |
| dc.identifier | Math. Ann. 339 (2007), 879-889. | |
| dc.identifier | doi:10.1007/s00208-007-0134-y | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138540 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57Q45; 55M35; 57S17; 57R25; 57R67 | |
| dc.title | Smooth free involution of $H{\Bbb C}P^3$ and Smith conjecture for imbeddings of $S^3$ in $S^6$ | |
| dc.type | text |