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Witten's Conjecture for many four-manifolds of simple type

Paul M. N. Feehan, Thomas G. Leness (2015)

Journal of the European Mathematical Society

We prove that Witten’s Conjecture [40] on the relationship between the Donaldson and Seiberg-Witten series for a four-manifold of Seiberg-Witten simple type with b 1 = 0 and odd b 2 + 3 follows from our ( 3 ) -monopole cobordism formula [6] when the four-manifold has c 1 2 χ h - 3 or is abundant.

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