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

Paul Feehan, Thomas Leness
2015 Journal of the European Mathematical Society (Print)  
We prove that Witten's Conjecture [arXiv:hep-th/9411102] 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 SO(3)-monopole cobordism formula [arXiv:math/0203047] when the four-manifold has c_1^2≥χ_h-3 or is abundant.
doi:10.4171/jems/521 fatcat:7lqh3mwvbba5jep4qawyrtro4m