4-manifolds and intersection forms with local coefficients

Abstract

We extend Donaldson's diagonalization theorem to intersection forms with certain local coefficients, under some constraints. This provides new examples of non-smoothable topological 4-manifolds.

30 pages. v2: The exposition has been improved following the referee's suggestions. Proposition 1.1 contains new examples of applications. To appear in the J. Diff. Geom

References in corpus (2)

• Harmonic sections in sphere bundles, normal neighborhoods of reduction loci, and instanton moduli spaces on definite 4-manifolds
• Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds

Cited by in corpus (1)

• Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds