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3-manifold groups

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arxiv 1205.0202 v3 pith:QSNOY5DJ submitted 2012-05-01 math.GT math.GR

classification math.GTmath.GR
keywords groupsmanifoldagolconsequencesdanifocusjeremykahn
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We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entanglement Spectrum Resolved by Loop Symmetries

    quant-ph 2025-10 conditional novelty 7.0 of 10

    Loop-symmetric many-body states have reduced density matrices that decompose into topological and geometric blocks computable from the Seifert–van Kampen theorem, giving exact entanglement spectra for Kitaev quantum d...

  2. Universal entanglement probes of topological order and locally-achiral manifolds

    quant-ph 2026-06 unverdicted novelty 6.0 of 10

    Multi-entropy measures extract the topological partition function Z(M) for locally-achiral manifolds, enabling access to universal properties of 2+1d topological phases beyond S and T and detection of 4d beyond-cohomo...

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