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

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Abstract

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 (Formula presented.) 3 follows from our SO(3)-monopole cobordism formula [6] when the four-manifold has (Formula presented.) or is abundant.

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Feehan, P. M. N., & Leness, T. G. (2015). Witten’s Conjecture for many four-manifolds of simple type. Journal of the European Mathematical Society, 17(4), 899–923. https://doi.org/10.4171/JEMS/521

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