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

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

2004-08-11

arxiv.org/abs/math/0408156v1

Algebr. Geom. Topol. 4 (2004) 521-542

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-24.abs.html

Scientific paper

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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