Niemeier lattices, smooth 4-manifolds and instantons

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)549-568
Number of pages20
JournalMathematische Annalen
Volume379
Issue number1-2
DOIs
StatePublished - Feb 2021
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Niemeier lattices, smooth 4-manifolds and instantons'. Together they form a unique fingerprint.

Cite this