Spin polynomial invariants for Dolgachev surfaces
Abstract
We consider the spin polynomial invariants for bundles with c2=2 and c1 = KS + 2nk a rational mutiple of the canonical divisor on a Dolgacev surface. It is shown that the chamber structure can be controlled so that the polynomials give diffeomorphism invariants of Dolgachev surfaces of the form qS(n) = a(n)Q2 + b(n)Qk2 + c(n)k4. The two leading coefficients are computed.
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