We define a sequence {X(n)}, n greater-than-or-equal-to 0 of homotopy equivalent smooth simply connected 4-manifolds, not diffeomorphic to a connected sum M1 # M2 with b^2_+(M(i)) > 0, i = 1, 2, for n > 0, and nondiffeomorphic for n not-equal m . Each X(n) has the homotopy type of 7CP2 # 37CP2BAR. We deduce that for all but finitely many n the connected sum of X(n) with a homotopy sphere is not diffeomorphic to a connected sum of complex surfaces, complex surfaces with reversed orientations and a homotopy sphere.
On simply connected noncomplex 4-manifolds
LISCA, PAOLO
1993-01-01
Abstract
We define a sequence {X(n)}, n greater-than-or-equal-to 0 of homotopy equivalent smooth simply connected 4-manifolds, not diffeomorphic to a connected sum M1 # M2 with b^2_+(M(i)) > 0, i = 1, 2, for n > 0, and nondiffeomorphic for n not-equal m . Each X(n) has the homotopy type of 7CP2 # 37CP2BAR. We deduce that for all but finitely many n the connected sum of X(n) with a homotopy sphere is not diffeomorphic to a connected sum of complex surfaces, complex surfaces with reversed orientations and a homotopy sphere.File in questo prodotto:
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