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

Details Witten's conjecture for many four-manifolds of simple type Witten's conjecture for many four-manifolds of simple type

2006-09-19

arxiv.org/abs/math/0609530v2

Mathematics

Differential Geometry

19 pages

Scientific paper

We show how Witten's conjecture relating the Donaldson and Seiberg-Witten
series for four-manifolds of Seiberg-Witten simple type with $b_1=0$, odd
$b_2^+\ge 3$ follows from the $\SO(3)$ monopole cobordism formula for abundant
manifolds and for manifolds with $c_1^2\ge \chi_h-3$.

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