The densest lattice in twenty-four dimensions
Metric Geometry
2012-03-15 v1
Abstract
In this research announcement we outline the methods used in our recent proof that the Leech lattice is the unique densest lattice in R^24. Complete details will appear elsewhere, but here we illustrate our techniques by applying them to the case of lattice packings in R^2, and we discuss the obstacles that arise in higher dimensions.
Cite
@article{arxiv.math/0408174,
title = {The densest lattice in twenty-four dimensions},
author = {Henry Cohn and Abhinav Kumar},
journal= {arXiv preprint arXiv:math/0408174},
year = {2012}
}
Comments
10 pages