Volume rigidity and algebraic shifting
Combinatorics
2023-05-10 v2
Abstract
We study the generic volume rigidity of -dimensional simplicial complexes in , and show that the volume rigidity of a complex can be identified in terms of its exterior shifting. In addition, we establish the volume rigidity of triangulations of several -dimensional surfaces and prove that, in all dimensions , volume rigidity is {\em not} characterized by a corresponding hypergraph sparsity property.
Cite
@article{arxiv.2211.00574,
title = {Volume rigidity and algebraic shifting},
author = {Denys Bulavka and Eran Nevo and Yuval Peled},
journal= {arXiv preprint arXiv:2211.00574},
year = {2023}
}