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de Moura, André; Gunther, Elijah; Payne, Sam; Schuchardt, Jason; Stapledon, Alan (, Algebraic combinatorics)null (Ed.)Motivated by connections to intersection homology of toric morphisms, the motivic monodromy conjecture, and a question of Stanley, we study the structure of geometric trian- gulations of simplices whose local h-polynomial vanishes. As a first step, we identify a class of refinements that preserve the local h-polynomial. In dimensions 2 and 3, we show that all geometric triangulations with vanishing local h-polynomial are obtained from one or two simple examples by a sequence of such refinements. In higher dimensions, we prove some partial results and give further examples.more » « less
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Cai, Jiarong; Zhang, Wei; Xu, Liguang; Hao, Changlong; Ma, Wei; Sun, Maozhong; Wu, Xiaoling; Qin, Xian; Colombari, Felippe Mariano; de Moura, André Farias; et al (, Nature Nanotechnology)
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Yeom, Jihyeon; Santos, Uallisson S.; Chekini, Mahshid; Cha, Minjeong; de Moura, André F.; Kotov, Nicholas A. (, Science)
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