Undecidability problems for semifree DG algebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915994949124096 |
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| author | Manolescu, Ciprian Rozenblyum, Nick |
| author_facet | Manolescu, Ciprian Rozenblyum, Nick |
| contents | We prove that the stable tame isomorphism, quasi-isomorphism, and derived Morita equivalence problems for semifree noncommutative differential graded algebras (DGAs) are all undecidable. This resolves half of Problem 5.16 from the K3 Problem List in Low-Dimensional Topology. We present two solutions, both obtained (essentially autonomously) by Gemini Deep Think / Aletheia. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_08122 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Undecidability problems for semifree DG algebras Manolescu, Ciprian Rozenblyum, Nick Rings and Algebras Geometric Topology Logic Symplectic Geometry 16E45, 57K33 We prove that the stable tame isomorphism, quasi-isomorphism, and derived Morita equivalence problems for semifree noncommutative differential graded algebras (DGAs) are all undecidable. This resolves half of Problem 5.16 from the K3 Problem List in Low-Dimensional Topology. We present two solutions, both obtained (essentially autonomously) by Gemini Deep Think / Aletheia. |
| title | Undecidability problems for semifree DG algebras |
| topic | Rings and Algebras Geometric Topology Logic Symplectic Geometry 16E45, 57K33 |
| url | https://arxiv.org/abs/2605.08122 |