1Department of Mathematics, Indian Institute of Science 2Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University
The electronic journal of combinatorics, Tome 24 (2017) no. 4
We prove two results on stacked triangulated manifolds in this paper: (a) every stacked triangulation of a connected manifold with or without boundary is obtained from a simplex or the boundary of a simplex by certain combinatorial operations; (b) in dimension $d \geq 4$, if $\Delta$ is a tight connected closed homology $d$-manifold whose $i$th homology vanishes for $1 < i < d-1$, then $\Delta$ is a stacked triangulation of a manifold. These results give affirmative answers to questions posed by Novik and Swartz and by Effenberger.
1
Department of Mathematics,
Indian Institute of Science
2
Department of Pure and Applied Mathematics,
Graduate School of Information Science and Technology,
Osaka University
@article{10_37236_6181,
author = {Basudeb Datta and Satoshi Murai},
title = {On stacked triangulated manifolds},
journal = {The electronic journal of combinatorics},
year = {2017},
volume = {24},
number = {4},
doi = {10.37236/6181},
zbl = {1379.57030},
url = {http://geodesic.mathdoc.fr/articles/10.37236/6181/}
}
TY - JOUR
AU - Basudeb Datta
AU - Satoshi Murai
TI - On stacked triangulated manifolds
JO - The electronic journal of combinatorics
PY - 2017
VL - 24
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.37236/6181/
DO - 10.37236/6181
ID - 10_37236_6181
ER -
