Spin canonical invariants of 4-manifolds and algebraic surfaces

Publication date: 13 June 1994

Abstract: The paper is a colloquial-style discussion of invariants of algebraic surfaces analogous to the Donaldson polynomials, arising from moduli spaces of ``jumping Yang--Mills instantons, or moduli spaces of jumping vector bundles. The invariants have the following applications: (1) to the Van de Ven conjecture that the Kodaira dimension is a diffeomorphism invariant; (2) to proving that algebraic surfaces with $p_{g} > 0$ have a proper sublattice of invariant under diffeomorphism; (3) to proving the same result as (2) for surfaces with $p_{g} = 0$ , in particular the Barlow surface.

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