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Homology classes that can be represented by embedded spheres in rational surfaces
Authors:GAO Hongzhu  GUO Ren
Affiliation:Department of Mathematics, Beijing Normal University, Beijing 100875, China
Abstract:The problem of embedding spheres in rational surfaces CP 2#n
$$overline {CP} $$
2 is studied. For homology classes u = (b 1 + k, b 2,...,b n) with positive self-intersection numbers, a necessary and sufficient condition to detect its representability is given when k ≤ 5.
Keywords:four manifold  embedded sphere  self-intersection number
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