Subdivisions of simplicial complexes

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Title: Subdivisions of simplicial complexes
Authors: Brunink, Jan-Marten
Thesis advisor: Prof. Dr. Martina Juhnke-Kubitzke
Thesis referee: Prof. Dr. Tim Römer
Abstract: The topic of this thesis are subdivisions of simplicial complexes, in particular we focus on the so-called antiprism triangulation. In the first main part, the real-rootedness of the h-polynomial of the antiprism triangulation of the simplex is proven. Furthermore, we study combinatorial interpretations of several invariants as the h- and local h-vector. In the second part, we show the almost strong Lefschetz property of the antiprism triangulation for every shellable simplicial complex.
Subject Keywords: Subdivisions of simplicial complexes; antiprism triangulation; real-rootedness; Lefschetz properties
Issue Date: 14-Sep-2021
License name: Attribution 3.0 Germany
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Type of publication: Dissertation oder Habilitation [doctoralThesis]
Appears in Collections:FB06 - E-Dissertationen

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