0609530 (Paul M. N. Feehan et al.)

Witten's conjecture for many four-manifolds of simple type    [PDF]

Paul M. N. Feehan, Thomas G. Leness

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 $b_2^+\geq 3$ follows from our $\SO(3)$-monopole cobordism formula [arXiv:math/0203047] when the four-manifold has $c_1^2\geq \chi_h-3$ or is abundant.

View original: http://arxiv.org/abs/0609530