Immersed spheres and finite type of Donaldson invariants
| dc.creator | Wieczorek, Wojciech | |
| dc.date | 1998-11-19 | |
| dc.date.accessioned | 2026-07-07T05:26:55Z | |
| dc.date.available | 2026-07-07T05:26:55Z | |
| dc.description | A smooth four manifold is of finite type $r$ if its Donaldson invariant satisfies D((x^2-4)^r)=0. We prove that every simply connected manifold is of finite type by using the structure of Donaldson invariants in the presence of immersed spheres. More precisely we prove that if a manifold X contains an immersed sphere with $p$ positive double points and a non-negative self-intersection $a$, then it is of finite type with r = [(2p+2-a)/4]. | |
| dc.description | 19 pages, LaTeX file | |
| dc.identifier | https://arxiv.org/abs/math/9811116 | |
| dc.identifier | http://arxiv.org/abs/math/9811116 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77738 | |
| dc.subject | Differential Geometry | |
| dc.title | Immersed spheres and finite type of Donaldson invariants | |
| dc.type | text |