Domination by geometric 4-manifolds

Abstract

We consider aspects of the question "when is an orientable closed 4-manifold $Y$ dominated by another such manifold $X$", focusing on the cases when $X$ is geometric or fibres non-trivially over an orientable surface.

v2: \S7 has been rewritten and split into two parts, to correct a blunder in the original Lemma 8. v3: \S4--\S6 have been rewritten and expanded. v4: \S2--\S4 have been expanded

Cited by in corpus (1)

• Degree one maps on four manifolds with cyclic fundamental groups