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Gauge theory for embedded surfaces
 I, Topology
, 1993
"... (i) Topology of embedded surfaces. Let X be a smooth, simplyconnected 4manifold, and ξ a 2dimensional homology class in X. One of the features of topology in dimension 4 is the fact that, although one may always represent ξ as the fundamental class of some smoothly ..."
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Cited by 68 (6 self)
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(i) Topology of embedded surfaces. Let X be a smooth, simplyconnected 4manifold, and ξ a 2dimensional homology class in X. One of the features of topology in dimension 4 is the fact that, although one may always represent ξ as the fundamental class of some smoothly
A NOTE ON LOGARITHMIC TRANSFORMATIONS ON THE HOPF SURFACE
, 2006
"... Abstract. In this note we study logarithmic transformations in the sense of differential topology on two fibers of the Hopf surface. It is known that such transformations are susceptible to yield exotic smooth structures on fourmanifolds. We will show here that this is not the case for the Hopf sur ..."
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Abstract. In this note we study logarithmic transformations in the sense of differential topology on two fibers of the Hopf surface. It is known that such transformations are susceptible to yield exotic smooth structures on fourmanifolds. We will show here that this is not the case for the Hopf surface, all integer homology Hopf surfaces we obtain are diffeomorphic to the standard Hopf surface. 1.
ON THE BLOWUPS OF NUMERICAL GODEAUX SURFACES
, 1995
"... Abstract: We give a short proof of the following result: Let X be a complex surface of general type. If the canonical divisor of the minimal model of X has selfintersection = 1, then X is not diffeomorphic to a rational surface. Our proof is the natural extension of the argument given in [5] for the ..."
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Abstract: We give a short proof of the following result: Let X be a complex surface of general type. If the canonical divisor of the minimal model of X has selfintersection = 1, then X is not diffeomorphic to a rational surface. Our proof is the natural extension of the argument given in [5] for the case when X is minimal. This argument also gives information about the non–existence of certain smooth embeddings of 2–spheres in X, if X has geometric genus zero. Sur les éclatées des surfaces numériquement de Godeaux Résumé: On donne une démonstration rapide du résultat suivant: Soit X une surface complexe de type général. Si l’autointersection du diviseur canonique du modèle minimal de X est 1, alors X n’est pas difféomorphe à une surface rationnelle. Notre démonstration est l’extension naturelle de la méthode utilisée dans [5] au cas où X est minimal. Cet argument donne aussi des informations