Timeline for Are there non-homeomorphic 3-manifolds with the same Turaev-Viro-Barrett-Westbury invariants?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 10, 2021 at 9:25 | comment | added | HJRW | See especially: arxiv.org/abs/1906.03602, arxiv.org/abs/2011.09412, arxiv.org/abs/2105.01022 . | |
| Jul 10, 2021 at 9:22 | comment | added | HJRW | I notice that Funar actually discusses this question in Remark 1.4 of his paper. (See also the sentence immediately preceding the remark: "We don’t know if the $SU(2)$ Turaev--Viro invariants alone determine already the pro-finite completion of the fundamental group.") It seems worth mentioning that Yi Liu has recently made dramatic progress on the question of profinite rigidity for 3-manifold groups.... (cont'd) | |
| Jul 9, 2021 at 20:34 | comment | added | Sebastien Palcoux | @HJRW The lens spaces $L(7,1)$ and $L(7,2)$ have the same fundamental group $C_7$, but different TV invariants (see this answer). | |
| Jul 9, 2021 at 15:31 | comment | added | HJRW | That's interesting. Is it the case that two 3-manifolds have all their TV invariants isomorphic if and only if their fundamental groups have the same finite quotients? | |
| Jul 9, 2021 at 9:11 | vote | accept | Sebastien Palcoux | ||
| Jul 9, 2021 at 6:40 | history | edited | Sebastien Palcoux | CC BY-SA 4.0 |
Minor edit: just added blockquote
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| Jul 8, 2021 at 13:14 | history | answered | Sebastien Palcoux | CC BY-SA 4.0 |