Michael Freedman

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20242026

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math.GT2026

Normal-Euler excess for disjoint nonorientable surfaces in a closed $4$ -manifold

Bennett Chow, Michael Freedman

Let $M$ be a closed connected oriented topological $4$-manifold. We prove that if $F_1,\dots,F_r\subset M$ are pairwise disjoint connected locally flat topologically embedded…

math.GT2025

A triple torsion linking form and 3-manifolds in $S^{4}$

Michael Freedman, Vyacheslav Krushkal

Given a rational homology 3-sphere $M$ , we introduce a triple linking form on $H_{1} (M; Z)$ , defined when the classical torsion linking pairing of three homology classes van…

math.GT2024

Spineless 5-manifolds and the deformation conjecture

Michael Freedman, Vyacheslav Krushkal, Tye Lidman

We construct a compact PL 5-manifold $M$ (with boundary) which is homotopy equivalent to the wedge of eleven 2-spheres, $\lor_{11} S^{2}$ , which is "spineless", meaning $M$ is not…

Normal-Euler excess for disjoint nonorientable surfaces in a closed 4-manifold

A triple torsion linking form and 3-manifolds in S4

Spineless 5-manifolds and the deformation conjecture

Normal-Euler excess for disjoint nonorientable surfaces in a closed $4$ -manifold

A triple torsion linking form and 3-manifolds in $S^{4}$