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Immersed spheres and finite type of Donaldson invariants | Wojciech Wieczorek
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19 Nov 1998 | Subject: | Differential Geometry | math.DG | Abstract: | 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]. | Source: | arXiv, math.DG/9811116 | Services: | Forum | Review | PDF | Favorites |
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