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Spin polynomial invariants for Dolgachev surfaces

S. Bauer·V. Pidstrigatch
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Abstract

We consider the spin polynomial invariants for bundles with c_2=2 and c_1 = K_S + 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 q_S(n) = a(n)Q^2 + b(n)Qk^2 + c(n)k^4. The two leading coefficients are computed.

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BibTeXRIS

S. Bauer, V. Pidstrigatch. 1993-11-23. Spin polynomial invariants for Dolgachev surfaces. https://arxiv.org/abs/alg-geom/9311008

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