Some glueing formulas for spin polynomials and a proof of the Van de Ven conjecture

Mathematics – Algebraic Geometry

Scientific paper

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17 pages. AmS-TeX-Version 2.1. A new reference is added (pp.1,15)

Scientific paper

We deduce some formulas for the spin invariants of the connected sum of an
arbitrary 4-manifold X, b^+ _2(X) > 0 $ with $\overline {CP^2}$ in terms of the
spin invariants of $X$ and apply this to prove the Van de Ven conjecture.

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