arXiv Analytics

Sign in

arXiv:1808.10321 [math.GT]AbstractReferencesReviewsResources

Niemeier lattices, smooth 4-manifolds and instantons

Christopher Scaduto

Published 2018-08-30Version 1

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.

Comments: 17 pages, 8 figures. Comments welcome!
Categories: math.GT, math.DG
Subjects: 57R57, 57M27
Related articles: Most relevant | Search more
arXiv:1009.5361 [math.GT] (Published 2010-09-27, updated 2010-10-04)
Instantons, concordance, and Whitehead doubling
arXiv:math/0204287 [math.GT] (Published 2002-04-23)
A Smooth Compactification of the Moduli Space of Instantons and Its Application
arXiv:2005.12863 [math.GT] (Published 2020-05-26)
Instantons and Khovanov skein homology on $I\times T^2$

Links

Toolbox