On exterior calculus and curvature in piecewise-flat manifolds

JR McDonald, WA Miller, PM Alsing, XD Gu… - arXiv preprint arXiv …, 2012 - arxiv.org
Simplicial, piecewise-flat discretizations of manifolds provide a clear path towards curvature
analysis on discrete geometries and for solutions of PDE's on manifolds of complex …

The Development of Mathematical Methods for Tackling Problems in Non-Perturbative Quantum Field Theory, Cosmology, and Gravity

D Berkowitz - 2021 - search.proquest.com
We have extended two recently developed theoretical methods, the Quantum Finite
Elements (QFE) and the Euclidean-signature semi-classical method (ESSCM). The QFE is a …

Conformal variations and quantum fluctuations in discrete gravity

A Marzuoli, D Merzi - International Journal of Geometric Methods in …, 2016 - World Scientific
After an overview of variational principles for discrete gravity, and on the basis of the
approach to conformal transformations in a simplicial PL setting proposed by Luo and …