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Niemeier lattices, smooth 4-manifolds and instantons
Mathematische Annalen ( IF 1.4 ) Pub Date : 2020-10-08 , DOI: 10.1007/s00208-020-02060-y
Christopher Scaduto

We show that the set of even positive definite lattices that arise from smooth, simply-connected 4-manifolds bounded by a fixed homology 3-sphere can depend on more than the ranks of the lattices. We provide two homology 3-spheres with distinct sets of such lattices, each containing a distinct nonempty subset of the rank 24 Niemeier lattices.

中文翻译:

尼迈尔格、光滑 4 流形和瞬子

我们表明,由固定同调 3 球体界定的光滑、简单连接的 4 流形产生的偶数正定格子集可以依赖于格子的秩。我们提供了两个具有不同此类格子集的同源 3 球体,每个球体都包含一个不同的 24 阶尼迈尔格子的非空子集。
更新日期:2020-10-08
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