Homotopy complex projective spaces with Pin(2)-action
| dc.creator | Dessai, Anand | |
| dc.date | 2001-02-07 | |
| dc.date.accessioned | 2026-07-07T04:40:03Z | |
| dc.date.available | 2026-07-07T04:40:03Z | |
| dc.description | Let $M$ be a manifold homotopy equivalent to the complex projective space $\C P^m$. Petrie conjectured that $M$ has standard total Pontrjagin class if $M$ admits a non-trivial action by $S^1$. We prove the conjecture for $m<12$ under the assumption that the action extends to a nice $Pin(2)$-action with fixed point. The proof involves equivariant index theory for $Spin^c$-manifolds and Jacobi functions as well as classical results from the theory of transformation groups. | |
| dc.description | 16 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0102061 | |
| dc.identifier | http://arxiv.org/abs/math/0102061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60912 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 19J35; 19L47; 57R20; 57S25 | |
| dc.title | Homotopy complex projective spaces with Pin(2)-action | |
| dc.type | text |