Triangulations of 3–dimensional pseudomanifolds with an application to state-sum invariants

Banagl, Markus¹ ; Friedman, Greg²

¹Mathematisches Institut, Universität Heidelberg, D-69120 Heidelberg, Germany
²Department of Mathematics, Yale University, New Haven CT 06520, USA

Algebraic and Geometric Topology, Tome 4 (2004) no. 1, pp. 521-542

Résumé

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.

Détail

DOI : 10.2140/agt.2004.4.521

Keywords: pseudomanifold, triangulation, Hauptvermutung, Alexander star move, bistellar move, Pachner move, state-sum invariant, Turaev–Viro invariant, quantum invariant

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