Mathematics > Metric Geometry
[Submitted on 28 Mar 2025
]
Title: Critical modular lattices in the Gaussian core model
Title: 高斯核心模型中的临界模格
Abstract: We discuss the local analysis of Gaussian potential energy of modular lattices. We show for instance that the $3$-modular $12$-dimensional Coxeter-Todd lattice and the $2$-modular $16$-dimensional Barnes-Wall lattice, which both provide excellent sphere packings, are not, even locally, universally optimal (in the sense of Cohn and Kumar).
Submission history
From: Marc Christian Zimmermann [view email][v1] Fri, 28 Mar 2025 21:50:29 UTC (61 KB)
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