Closed manifold surgery obstructions and the Oozing Conjecture
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914306639003648 |
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| author | Hambleton, Ian Unlu, Ozgun |
| author_facet | Hambleton, Ian Unlu, Ozgun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05003 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Closed manifold surgery obstructions and the Oozing Conjecture Hambleton, Ian Unlu, Ozgun Geometric Topology Algebraic Topology 57R67, 20J06, 18F25 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. |
| title | Closed manifold surgery obstructions and the Oozing Conjecture |
| topic | Geometric Topology Algebraic Topology 57R67, 20J06, 18F25 |
| url | https://arxiv.org/abs/2602.05003 |