Spin canonical invariants of 4-manifolds and algebraic surfaces
Abstract
Description
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 $H^2(X,\Z)$ invariant under diffeomorphism; (3) to proving the same result as (2) for surfaces with $p_g = 0$, in particular the Barlow surface.
amsTeX 2.1 (amsppt format), 23 pages. Also distributed as Warwick preprint 38/1994. Research partly supported by a Royal Society Kapitza fellowship
amsTeX 2.1 (amsppt format), 23 pages. Also distributed as Warwick preprint 38/1994. Research partly supported by a Royal Society Kapitza fellowship