Geodesic
Patching formulas for spin polynomials, and a~proof of the Van de Ven conjecture
Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 529-543

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In the present paper some formulas for spin invariants of a connected sum of an arbitrary four-dimensional manifold $X$ with $b_2^+(X)>0$ and $\overline{\mathbb C\mathbb P^2}$ in terms of spin invariants of $X$ are obtained, and the results are used to get a proof of the Van de Ven conjecture. 
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     author = {V. Ya. Pidstrigach},
     title = {Patching formulas for spin polynomials, and a~proof of the {Van} de {Ven} conjecture},
     journal = {Izvestiya. Mathematics },
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     volume = {45},
     number = {3},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_45_3_a4/}
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V. Ya. Pidstrigach. Patching formulas for spin polynomials, and a~proof of the Van de Ven conjecture. Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 529-543. http://geodesic.mathdoc.fr/item/IM2_1995_45_3_a4/