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Creators/Authors contains: "Gunther, Elijah"

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  1. ; ; ; ; (, Algebraic Combinatorics)
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  2. ; ; ; ; (, 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. 
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