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- W4361231190 abstract "We show that finitely generated fundamental groups of three-manifolds satisfy the Strong Atiyah Conjecture over the complex numbers. This implies that when the group is additionally torsion-free, then its complex group ring satisfies the Kaplansky Zero-divisor Conjecture. As an application, we give a very short proof of a significant generalisation of a recent result of Shalen dealing with the minimal index of freedom of three-manifold groups." @default.
- W4361231190 created "2023-03-31" @default.
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- W4361231190 date "2023-03-28" @default.
- W4361231190 modified "2023-10-18" @default.
- W4361231190 title "The Atiyah conjecture for three-manifold groups" @default.
- W4361231190 doi "https://doi.org/10.48550/arxiv.2303.15907" @default.
- W4361231190 hasPublicationYear "2023" @default.
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