Abstract
For any closed, oriented, simply connected spin 4-manifold $X$ with $b_{X}^{+}>1$ and even, by Fintushel and Stern [7], differential-topological polynomial invariants with its values in $Z_{2}$ are defined. These invariants are analogues of Donaldson polynomial invariants. In [7], it is proved that if $X=X^{\prime}\# S^{2}\times S^{2}$, then these invariants do not always vanish. But in this paper, it is proved that these invariants vanish for a large class of connected sums.
Citation
Hajime Ono. "Vanishing theorem for 2-torsion instanton invariants." Tsukuba J. Math. 24 (2) 221 - 232, December 2000. https://doi.org/10.21099/tkbjm/1496164146
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