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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 ..."
Abstract

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
Einstein Metrics and Smooth Structures
 GEOM. TOPOL
, 1998
"... We prove that there are infinitely many pairs of homeomorphic nondiffeomorphic smooth 4manifolds, such that in each pair one manifold admits an Einstein metric and the other does not. We also show that there are closed 4manifolds with two smooth structures which admit Einstein metrics with opposi ..."
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Cited by 10 (0 self)
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We prove that there are infinitely many pairs of homeomorphic nondiffeomorphic smooth 4manifolds, such that in each pair one manifold admits an Einstein metric and the other does not. We also show that there are closed 4manifolds with two smooth structures which admit Einstein metrics with opposite signs of the scalar curvature.
TT
, 2005
"... We construct smooth 4–manifolds homeomorphic but not diffeomorphic to CP 2 #6CP 2. ..."
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We construct smooth 4–manifolds homeomorphic but not diffeomorphic to CP 2 #6CP 2.
Einstein metrics and smooth structures
, 1998
"... We prove that there are infinitely many pairs of homeomorphic nondiffeomorphic smooth 4–manifolds, such that in each pair one manifold admits an Einstein metric and the other does not. We also show that there are closed 4–manifolds with two smooth structures which admit Einstein metrics with opposi ..."
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We prove that there are infinitely many pairs of homeomorphic nondiffeomorphic smooth 4–manifolds, such that in each pair one manifold admits an Einstein metric and the other does not. We also show that there are closed 4–manifolds with two smooth structures which admit Einstein metrics with opposite signs of the scalar curvature.