Niemeier lattices, smooth 4-manifolds and instantons

Christopher Scaduto

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arXiv · 1808.10321

Niemeier lattices, smooth 4-manifolds and instantons

Christopher Scaduto

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Abstract

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.

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Christopher Scaduto. 2018-08-30. Niemeier lattices, smooth 4-manifolds and instantons. https://arxiv.org/abs/1808.10321

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