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The densest lattice in twenty-four dimensions

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.

preprint2004arXivOpen access
Henry CohnAbhinav Kumar
math.MG
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Henry CohnAbhinav Kumar

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