Discretising geometry and preserving topology I: A discrete exterior calculus
High Energy Physics - Theory
2007-05-23 v2
Abstract
A discretisation scheme that preserves topological features of a physical problem is extended so that differential geometric structures can be approximated in a consistent way thus giving access to the study of physical systems which are not solely topological theories. Issues of convergence and a numerical implementation are discussed. The follow-up article covers the resulting discretisation scheme with metric data.
Keywords
Cite
@article{arxiv.hep-th/0403206,
title = {Discretising geometry and preserving topology I: A discrete exterior calculus},
author = {Vivien de Beauce and Siddhartha Sen},
journal= {arXiv preprint arXiv:hep-th/0403206},
year = {2007}
}
Comments
26 pages, improved version with Lie group interpretation. References added