geometry-topology / Decision problems in topology

Kirby Problem 5.16 for Noncommutative Semifree DGAs

For semifree noncommutative differential graded algebras over a nontrivial computable unital commutative ring, are stable tame isomorphism, quasi-isomorphism, or derived Morita equivalence algorithmically decidable? All three are undecidable.

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For semifree noncommutative differential graded algebras over a nontrivial computable unital commutative ring, are stable tame isomorphism, quasi-isomorphism, or derived Morita equivalence algorithmically decidable? All three are undecidable.

resolves the noncommutative half of the Kirby-list problem

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Kirby Problem 5.16 for Noncommutative Semifree DGAs — Mathematical Frontier Network