Discrete calculus with cubic cells on discrete manifolds
Discrete Mathematics
2024-01-23 v5 Differential Geometry
Abstract
This work is thought as an operative guide to discrete exterior calculus (DEC), but at the same time with a rigorous exposition. We present a version of (DEC) on cubic cell, defining it for discrete manifolds. An example of how it works, it is done on the discrete torus, where usual Gauss and Stokes theorems are recovered.
Cite
@article{arxiv.1906.07054,
title = {Discrete calculus with cubic cells on discrete manifolds},
author = {Leonardo De Carlo},
journal= {arXiv preprint arXiv:1906.07054},
year = {2024}
}
Comments
A didactic guide for ArXiv, intended to make more explicit the computational nature with respect to the algebraic topology literature