Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups

Daniel Kasprowski; Mark Powell; Benjamin Ruppik

Journal ArticleOPEN ACCESS

Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups

Mathematical Proceedings of the Cambridge Philosophical Society (2024)

DOI: 10.1017/S0305004124000227

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Abstract

We show that for an oriented 4-dimensional Poincaré complex X with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type of X is determined by its quadratic 2-type.

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Kasprowski, D., Powell, M., & Ruppik, B. (2024). Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups. Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/S0305004124000227

Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups

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