2 papers
gr-qc2024
Solving the area-length systems in discrete gravity using homotopy continuation
Seth K. Asante, Taylor Brysiewicz
Area variables are intrinsic to connection formulations of general relativity, in contrast to the fundamental length variables prevalent in metric formulations. Within 4D discrete…
math.AG2024
The algebraic matroid of the Heron variety
Seth K. Asante, Taylor Brysiewicz, Michelle Hatzel
We introduce the n-th Heron variety as the realization space of the (squared) volumes of faces of an n-simplex. Our primary goal is to understand the extent to which Heron's formul…