Subdivisions of simplicial complexes
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202109145342
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202109145342
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. |
URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202109145342 |
Subject Keywords: | Subdivisions of simplicial complexes; antiprism triangulation; real-rootedness; Lefschetz properties |
Issue Date: | 14-Sep-2021 |
License name: | Attribution 3.0 Germany |
License url: | http://creativecommons.org/licenses/by/3.0/de/ |
Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
File | Description | Size | Format | |
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thesis_brunink.pdf | Präsentationsformat | 1,28 MB | Adobe PDF | thesis_brunink.pdf View/Open |
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