Four-manifolds with identical cohomology are shown to be different as smooth spaces by checking whether the figure-eight knot is slice, with new nonstandard cohomology CP^2#CP^2 manifolds.
On the minimal genus problem in four-manifolds
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We study the minimal genus problem for some smooth four-manifolds.
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Distinguishing closed 4-manifolds by slicing
Four-manifolds with identical cohomology are shown to be different as smooth spaces by checking whether the figure-eight knot is slice, with new nonstandard cohomology CP^2#CP^2 manifolds.