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- W2949597946 abstract "Define the Donaldson series of a simply connected 4-manifold by q(X) = sum_d q_d(X)/d! Recently Kronheimer and Mroka have announced the result that the Donaldson series of so called simple 4-manifolds can be written as q(X) = e^{Q/2}sum_{i=1}^p a_i e^{K_i} where $Q$ is the intersection form and the $K_i in H^2(X,Z)$ are the {it Kronheimer-Mrowka classes}. We prove that for simple simply connected algebraic surfaces the $K_i$ are algebraic classes and that they are closely related to the canonical class $K_X$. For simple simply connected minimal surfaces of general type we prove $K_i^2 le K_X^2$ with equality if and only if $K_i = pm K_X$. Remark: although no gauge theory is used in this paper it should have a cross reference with the as yet non existent e-print service for low dimensional topology." @default.
- W2949597946 created "2019-06-27" @default.
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- W2949597946 date "1993-08-20" @default.
- W2949597946 modified "2023-09-27" @default.
- W2949597946 title "Some remarks on the Kronheimer-Mrowka classes of algebraic surfaces" @default.
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- W2949597946 hasPublicationYear "1993" @default.
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