Niemeier lattices, smooth 4-manifolds and instantons

被引：0

作者：

Scaduto, Christopher ^{[1
]}

机构：

[1] Simons Ctr Geometry & Phys, Stony Brook, NY 11794 USA

来源：

MATHEMATISCHE ANNALEN | 2021年 / 379卷 / 1-2期

关键词：

INTERSECTION FORMS; FLOER HOMOLOGY; COHOMOLOGY;

D O I：

10.1007/s00208-020-02060-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：549 / 568

页数：20

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