## Algebraic & Geometric Topology

### Even triangulations of $n$–dimensional pseudo-manifolds

#### Abstract

This paper introduces even triangulations of $n$–dimensional pseudo-manifolds and links their combinatorics to the topology of the pseudo-manifolds. This is done via normal hypersurface theory and the study of certain symmetric representation. In dimension $3$, necessary and sufficient conditions for the existence of even triangulations having one or two vertices are given. For Haken $n$–manifolds, an interesting connection between very short hierarchies and even triangulations is observed.

#### Article information

Source
Algebr. Geom. Topol., Volume 15, Number 5 (2015), 2947-2982.

Dates
Revised: 3 February 2015
Accepted: 5 February 2015
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.agt/1510841038

Digital Object Identifier
doi:10.2140/agt.2015.15.2949

Mathematical Reviews number (MathSciNet)
MR3426699

Zentralblatt MATH identifier
1346.57014

#### Citation

Rubinstein, J Hyam; Tillmann, Stephan. Even triangulations of $n$–dimensional pseudo-manifolds. Algebr. Geom. Topol. 15 (2015), no. 5, 2947--2982. doi:10.2140/agt.2015.15.2949. https://projecteuclid.org/euclid.agt/1510841038

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