Triangulations of 3-dimensional pseudomanifolds with an application to state-sum invariants
classification
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dimensionalpseudomanifoldsapplicationinvariantsmovesstate-sumtopologicaltriangulations
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We demonstrate the triangulability of compact 3-dimensional topological pseudomanifolds and study the properties of such triangulations, including the Hauptvermutung and relations by Alexander star moves and Pachner bistellar moves. We also provide an application to state-sum invariants of 3-dimensional topological pseudomanifolds
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