On Hempel Pairs and Turaev-Viro Invariants  

作　　者：Yi LIU 

机构地区：[1]Beijing International Center for Mathematical Research,Peking University,Beijing 100871,China

出　　处：《Chinese Annals of Mathematics,Series B》2025年第1期1-24,共24页数学年刊(B辑英文版)

基　　金：supported by the National Natural Science Foundation of China (No. 11925101);the National Key R&D Program of China (No. 2020YFA0712800)。

摘　　要：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.

关 键 词：Profinite completion Mapping class group Turaev-Viro invariant 

分 类 号：O18[理学—数学]