$({\Bbb Z}_2)^k$-actions with $w(F)=1$
| dc.creator | Lü, Zhi | |
| dc.date | 2005-03-05 | |
| dc.date.accessioned | 2026-07-07T05:17:40Z | |
| dc.date.available | 2026-07-07T05:17:40Z | |
| dc.description | Suppose that $(Φ, M^n)$ is a smooth $({\Bbb Z}_2)^k$-action on a closed smooth $n$-dimensional manifold such that all Stiefel-Whitney classes of the tangent bundle to each connected component of the fixed point set $F$ vanish in positive dimension. This paper shows that if $\dim M^n>2^k\dim F$ and each $p$-dimensional part $F^p$ possesses the linear independence property, then $(Φ, M^n)$ bounds equivariantly, and in particular, $2^k\dim F$ is the best possible upper bound of $\dim M^n$ if $(Φ, M^n)$ is nonbounding. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503085 | |
| dc.identifier | http://arxiv.org/abs/math/0503085 | |
| dc.identifier | Proc. Amer. Math. Soc. 133 (2005), 3721-3733. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74391 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R85, 57S17, 55N22 | |
| dc.title | $({\Bbb Z}_2)^k$-actions with $w(F)=1$ | |
| dc.type | text |