2 papers
math.GT2025
Connecting 3-manifold triangulations with unimodal sequences of elementary moves
Benjamin A. Burton, Alexander He
A key result in computational 3-manifold topology is that any two triangulations of the same 3-manifold are connected by a finite sequence of bistellar flips, also known as Pachner…
math.GT2024
Crushing Surfaces of Positive Genus
Benjamin A. Burton, Thiago de Paiva, Alexander He +1
The operation of crushing a normal surface has proven to be a powerful tool in computational -manifold topology, with applications both to triangulation complexity and to algori…