English

Domination by geometric 4-manifolds

Geometric Topology 2022-01-25 v4

Abstract

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

Keywords

Cite

@article{arxiv.2103.06454,
  title  = {Domination by geometric 4-manifolds},
  author = {Jonathan A. Hillman},
  journal= {arXiv preprint arXiv:2103.06454},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-23T23:59:03.577Z