Niemeier lattices, smooth 4-manifolds and instantons
Geometric Topology
2018-08-31 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1808.10321,
title = {Niemeier lattices, smooth 4-manifolds and instantons},
author = {Christopher Scaduto},
journal= {arXiv preprint arXiv:1808.10321},
year = {2018}
}
Comments
17 pages, 8 figures. Comments welcome!