The densest lattice in twenty-four dimensions

Details The densest lattice in twenty-four dimensions The densest lattice in twenty-four dimensions

2004-08-13

arxiv.org/abs/math/0408174v1

Electron. Res. Announc. Amer. Math. Soc. 10 (2004), 58-67

Mathematics

Metric Geometry

10 pages

Scientific paper

10.1090/S1079-6762-04-00130-1

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.

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