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Abstract for MSRI Preprint 1997-028

On a computer recognition of 3-manifolds

Sergei V. Matveev

We describe theoretical backgrounds for a computer program that recognizes all closed orientable 3-manifolds up to complexity 8. The program can treat also not necessarily closed 3-manifolds of bigger complexities, but here some unrecognizable (by the program) 3-manifolds may occur.