Closed manifold surgery obstructions and the Oozing Conjecture

Ian Hambleton; Ozgun Unlu

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arXiv · 2602.05003

Closed manifold surgery obstructions and the Oozing Conjecture

Ian Hambleton·Ozgun Unlu

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Abstract

We complete the description of surgery obstructions up to homotopy equivalence for closed oriented manifolds with finite fundamental group. New examples are presented of non-trivial obstructions for Arf invariant product formulas in codimensions $\geq 4$, which give counterexamples to the well-known ''Oozing Conjecture'' from the 1980's.

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Ian Hambleton, Ozgun Unlu. 2026-02-04. Closed manifold surgery obstructions and the Oozing Conjecture. https://arxiv.org/abs/2602.05003

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