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| On Hempel Pairs and Turaev-Viro Invariants |
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Citation： |
Yi LIU.On Hempel Pairs and Turaev-Viro Invariants[J].Chinese Annals of Mathematics B,2025,46(1):1~24 |
| Page view： 186
Net amount： 148 |
Authors： |
Yi LIU; |
Foundation： |
the National Natural Science Foundation of China (No. 11925101) and the
National Key R&D Program of China (No. 2020YFA0712800). |
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| Abstract： |
Surface bundles arising from periodic mapping classes may sometimes have
non-isomorphic, but profinitely isomorphic fundamental groups. Pairs of this kind have
been discovered by Hempel. This paper exhibits examples of nontrivial Hempel pairs where
the mapping tori can be distinguished by some Turaev-Viro invariants, and also examples
where they cannot be distinguished by any Turaev-Viro invariants. |
Keywords： |
Profinite completion Mapping class group Turaev-Viro invariant |
Classification： |
57K31, 57K16 |
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